7|v-2|+1=1 — step-by-step solution

Let's solve in

ℝ

7 \cdot | v - 2 | + 1 = 1

7 \cdot | v - 2 | + 1 - 1 = 0

ⓘ Start from

1

and move back

1

on the number line, down to zero:

1 - 1

0

7 \cdot | v - 2 | + 0 = 0

ⓘ Adding 0 changes nothing:

7 \cdot | v - 2 | + 0

7 \cdot | v - 2 |

7 \cdot | v - 2 | = 0

We simplify the expression by

7

⇥Let's solve in

ℝ

| v - 2 | = 0

⇥Let's solve in

ℝ

v - 2 = 0

⇥ⓘ We add

2

to both sides

▶Solution obtained:

v = 2