1.68(1.18n+17.2)=-0.2n-3.84 — step-by-step solution

Let's solve in

ℝ

1.68 \cdot (1.18 n + 17.2) = - 0.2 n - 3.84

ⓘ Expand by multiplying each term inside the parentheses:

1.68 \cdot (1.18 n + 17.2)

1.9824 n + 28.896

1.9824 n + 28.896 = - 0.2 n - 3.84

ⓘ We subtract

28.896

from both sides■Start from

-3.84

and move back

28.896

more on the number line, away from zero:

- 3.84 - 28.896

-32.736

1.9824 n = - 0.2 n - 32.736

ⓘ We add

0.2 n

to both sides

1.9824 n + 0.2 n = -32.736

ⓘ Like terms are grouped by adding their coefficients:

1.9824 n + 0.2 n

2.1824 n

2.1824 n = -32.736

ⓘ Both sides are divided by

2.1824

n = - \frac{32.736}{2.1824}

ⓘ The numerator and the denominator are multiplied by

10,000

to remove the decimal point, then divided by

21,824

, their greatest common divisor:

- \frac{32.736}{2.1824}

- \frac{32.736 \cdot 10,000}{2.1824 \cdot 10,000}

- \frac{327,360}{21,824}

-15

▶Solution obtained:

n = -15