Question

Solve -8z + 3+2z = -4 - 6z + 7. Tell how many solutions there are.

Answer 1

Answer:

2 solutions   3 (-2 z + 1) and 3 (1 - 2 z)

Step-by-step explanation:

Left side

Simplify the following:

-8 z + 3 + 2 z

Grouping like terms, -8 z + 3 + 2 z = (2 z - 8 z) + 3:

(2 z - 8 z) + 3

2 z - 8 z = -6 z:

-6 z + 3

Factor 3 out of -6 z + 3:

Answer:  3 (-2 z + 1)

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Right side

Simplify the following:

-6 z - 4 + 7

Grouping like terms, -6 z - 4 + 7 = (7 - 4) - 6 z:

(7 - 4) - 6 z

7 - 4 = 3:

3 - 6 z

Factor 3 out of 3 - 6 z:

Answer: 3 (1 - 2 z)