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Simplifying -4 + 4(4z + 8) = -8(-8z + -9) + -3 Reorder the terms: -4 + 4(8 + 4z) = -8(-8z + -9) + -3 -4 + (8 * 4 + 4z * 4) = -8(-8z + -9) + -3 -4 + (32 + 16z) = -8(-8z + -9) + -3 Combine like terms: -4 + 32 = 28 28 + 16z = -8(-8z + -9) + -3 Reorder the terms: 28 + 16z = -8(-9 + -8z) + -3 28 + 16z = (-9 * -8 + -8z * -8) + -3 28 + 16z = (72 + 64z) + -3 Reorder the terms: 28 + 16z = 72 + -3 + 64z Combine like terms: 72 + -3 = 69 28 + 16z = 69 + 64z Solving 28 + 16z = 69 + 64z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-64z' to each side of the equation. 28 + 16z + -64z = 69 + 64z + -64z Combine like terms: 16z + -64z = -48z 28 + -48z = 69 + 64z + -64z Combine like terms: 64z + -64z = 0 28 + -48z = 69 + 0 28 + -48z = 69 Add '-28' to each side of the equation. 28 + -28 + -48z = 69 + -28 Combine like terms: 28 + -28 = 0 0 + -48z = 69 + -28 -48z = 69 + -28 Combine like terms: 69 + -28 = 41 -48z = 41 Divide each side by '-48'. z = -0.8541666667 Simplifying z = -0.8541666667
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