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Simplifying 7(z + -8) = 8(x + -3) + -5 Reorder the terms: 7(-8 + z) = 8(x + -3) + -5 (-8 * 7 + z * 7) = 8(x + -3) + -5 (-56 + 7z) = 8(x + -3) + -5 Reorder the terms: -56 + 7z = 8(-3 + x) + -5 -56 + 7z = (-3 * 8 + x * 8) + -5 -56 + 7z = (-24 + 8x) + -5 Reorder the terms: -56 + 7z = -24 + -5 + 8x Combine like terms: -24 + -5 = -29 -56 + 7z = -29 + 8x Solving -56 + 7z = -29 + 8x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 7z = -29 + 56 + 8x Combine like terms: -56 + 56 = 0 0 + 7z = -29 + 56 + 8x 7z = -29 + 56 + 8x Combine like terms: -29 + 56 = 27 7z = 27 + 8x Divide each side by '7'. z = 3.857142857 + 1.142857143x Simplifying z = 3.857142857 + 1.142857143x
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