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Simplifying -4(-7z + 16) = 7(3z + 15) + 20z Reorder the terms: -4(16 + -7z) = 7(3z + 15) + 20z (16 * -4 + -7z * -4) = 7(3z + 15) + 20z (-64 + 28z) = 7(3z + 15) + 20z Reorder the terms: -64 + 28z = 7(15 + 3z) + 20z -64 + 28z = (15 * 7 + 3z * 7) + 20z -64 + 28z = (105 + 21z) + 20z Combine like terms: 21z + 20z = 41z -64 + 28z = 105 + 41z Solving -64 + 28z = 105 + 41z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-41z' to each side of the equation. -64 + 28z + -41z = 105 + 41z + -41z Combine like terms: 28z + -41z = -13z -64 + -13z = 105 + 41z + -41z Combine like terms: 41z + -41z = 0 -64 + -13z = 105 + 0 -64 + -13z = 105 Add '64' to each side of the equation. -64 + 64 + -13z = 105 + 64 Combine like terms: -64 + 64 = 0 0 + -13z = 105 + 64 -13z = 105 + 64 Combine like terms: 105 + 64 = 169 -13z = 169 Divide each side by '-13'. z = -13 Simplifying z = -13
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