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Simplifying -6(2z + 3) + -13 = 4(5 + -7z) + 13 Reorder the terms: -6(3 + 2z) + -13 = 4(5 + -7z) + 13 (3 * -6 + 2z * -6) + -13 = 4(5 + -7z) + 13 (-18 + -12z) + -13 = 4(5 + -7z) + 13 Reorder the terms: -18 + -13 + -12z = 4(5 + -7z) + 13 Combine like terms: -18 + -13 = -31 -31 + -12z = 4(5 + -7z) + 13 -31 + -12z = (5 * 4 + -7z * 4) + 13 -31 + -12z = (20 + -28z) + 13 Reorder the terms: -31 + -12z = 20 + 13 + -28z Combine like terms: 20 + 13 = 33 -31 + -12z = 33 + -28z Solving -31 + -12z = 33 + -28z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '28z' to each side of the equation. -31 + -12z + 28z = 33 + -28z + 28z Combine like terms: -12z + 28z = 16z -31 + 16z = 33 + -28z + 28z Combine like terms: -28z + 28z = 0 -31 + 16z = 33 + 0 -31 + 16z = 33 Add '31' to each side of the equation. -31 + 31 + 16z = 33 + 31 Combine like terms: -31 + 31 = 0 0 + 16z = 33 + 31 16z = 33 + 31 Combine like terms: 33 + 31 = 64 16z = 64 Divide each side by '16'. z = 4 Simplifying z = 4
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