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Simplifying -4(3 + -4z) = 13z + 15 (3 * -4 + -4z * -4) = 13z + 15 (-12 + 16z) = 13z + 15 Reorder the terms: -12 + 16z = 15 + 13z Solving -12 + 16z = 15 + 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. -12 + 16z + -13z = 15 + 13z + -13z Combine like terms: 16z + -13z = 3z -12 + 3z = 15 + 13z + -13z Combine like terms: 13z + -13z = 0 -12 + 3z = 15 + 0 -12 + 3z = 15 Add '12' to each side of the equation. -12 + 12 + 3z = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 3z = 15 + 12 3z = 15 + 12 Combine like terms: 15 + 12 = 27 3z = 27 Divide each side by '3'. z = 9 Simplifying z = 9
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