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Simplifying -4(-2 + -3z) = 13z (-2 * -4 + -3z * -4) = 13z (8 + 12z) = 13z Solving 8 + 12z = 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. 8 + 12z + -13z = 13z + -13z Combine like terms: 12z + -13z = -1z 8 + -1z = 13z + -13z Combine like terms: 13z + -13z = 0 8 + -1z = 0 Add '-8' to each side of the equation. 8 + -8 + -1z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1z = 0 + -8 -1z = 0 + -8 Combine like terms: 0 + -8 = -8 -1z = -8 Divide each side by '-1'. z = 8 Simplifying z = 8
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