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Simplifying 8(z + -1) = 7(z + 3) Reorder the terms: 8(-1 + z) = 7(z + 3) (-1 * 8 + z * 8) = 7(z + 3) (-8 + 8z) = 7(z + 3) Reorder the terms: -8 + 8z = 7(3 + z) -8 + 8z = (3 * 7 + z * 7) -8 + 8z = (21 + 7z) Solving -8 + 8z = 21 + 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. -8 + 8z + -7z = 21 + 7z + -7z Combine like terms: 8z + -7z = 1z -8 + 1z = 21 + 7z + -7z Combine like terms: 7z + -7z = 0 -8 + 1z = 21 + 0 -8 + 1z = 21 Add '8' to each side of the equation. -8 + 8 + 1z = 21 + 8 Combine like terms: -8 + 8 = 0 0 + 1z = 21 + 8 1z = 21 + 8 Combine like terms: 21 + 8 = 29 1z = 29 Divide each side by '1'. z = 29 Simplifying z = 29
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