5(z+3)-(4z-8)=130

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Solution for 5(z+3)-(4z-8)=130 equation:


Simplifying
5(z + 3) + -1(4z + -8) = 130

Reorder the terms:
5(3 + z) + -1(4z + -8) = 130
(3 * 5 + z * 5) + -1(4z + -8) = 130
(15 + 5z) + -1(4z + -8) = 130

Reorder the terms:
15 + 5z + -1(-8 + 4z) = 130
15 + 5z + (-8 * -1 + 4z * -1) = 130
15 + 5z + (8 + -4z) = 130

Reorder the terms:
15 + 8 + 5z + -4z = 130

Combine like terms: 15 + 8 = 23
23 + 5z + -4z = 130

Combine like terms: 5z + -4z = 1z
23 + 1z = 130

Solving
23 + 1z = 130

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-23' to each side of the equation.
23 + -23 + 1z = 130 + -23

Combine like terms: 23 + -23 = 0
0 + 1z = 130 + -23
1z = 130 + -23

Combine like terms: 130 + -23 = 107
1z = 107

Divide each side by '1'.
z = 107

Simplifying
z = 107

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