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Simplifying -8(z + 4) = -7(z + -4) + -3 Reorder the terms: -8(4 + z) = -7(z + -4) + -3 (4 * -8 + z * -8) = -7(z + -4) + -3 (-32 + -8z) = -7(z + -4) + -3 Reorder the terms: -32 + -8z = -7(-4 + z) + -3 -32 + -8z = (-4 * -7 + z * -7) + -3 -32 + -8z = (28 + -7z) + -3 Reorder the terms: -32 + -8z = 28 + -3 + -7z Combine like terms: 28 + -3 = 25 -32 + -8z = 25 + -7z Solving -32 + -8z = 25 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. -32 + -8z + 7z = 25 + -7z + 7z Combine like terms: -8z + 7z = -1z -32 + -1z = 25 + -7z + 7z Combine like terms: -7z + 7z = 0 -32 + -1z = 25 + 0 -32 + -1z = 25 Add '32' to each side of the equation. -32 + 32 + -1z = 25 + 32 Combine like terms: -32 + 32 = 0 0 + -1z = 25 + 32 -1z = 25 + 32 Combine like terms: 25 + 32 = 57 -1z = 57 Divide each side by '-1'. z = -57 Simplifying z = -57
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