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Simplifying -4(-5 + -3z) = 13z (-5 * -4 + -3z * -4) = 13z (20 + 12z) = 13z Solving 20 + 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. 20 + 12z + -13z = 13z + -13z Combine like terms: 12z + -13z = -1z 20 + -1z = 13z + -13z Combine like terms: 13z + -13z = 0 20 + -1z = 0 Add '-20' to each side of the equation. 20 + -20 + -1z = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1z = 0 + -20 -1z = 0 + -20 Combine like terms: 0 + -20 = -20 -1z = -20 Divide each side by '-1'. z = 20 Simplifying z = 20
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