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Simplifying 4(5z + -1) + -5(z + 1) = 8(z + -1) Reorder the terms: 4(-1 + 5z) + -5(z + 1) = 8(z + -1) (-1 * 4 + 5z * 4) + -5(z + 1) = 8(z + -1) (-4 + 20z) + -5(z + 1) = 8(z + -1) Reorder the terms: -4 + 20z + -5(1 + z) = 8(z + -1) -4 + 20z + (1 * -5 + z * -5) = 8(z + -1) -4 + 20z + (-5 + -5z) = 8(z + -1) Reorder the terms: -4 + -5 + 20z + -5z = 8(z + -1) Combine like terms: -4 + -5 = -9 -9 + 20z + -5z = 8(z + -1) Combine like terms: 20z + -5z = 15z -9 + 15z = 8(z + -1) Reorder the terms: -9 + 15z = 8(-1 + z) -9 + 15z = (-1 * 8 + z * 8) -9 + 15z = (-8 + 8z) Solving -9 + 15z = -8 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -9 + 15z + -8z = -8 + 8z + -8z Combine like terms: 15z + -8z = 7z -9 + 7z = -8 + 8z + -8z Combine like terms: 8z + -8z = 0 -9 + 7z = -8 + 0 -9 + 7z = -8 Add '9' to each side of the equation. -9 + 9 + 7z = -8 + 9 Combine like terms: -9 + 9 = 0 0 + 7z = -8 + 9 7z = -8 + 9 Combine like terms: -8 + 9 = 1 7z = 1 Divide each side by '7'. z = 0.1428571429 Simplifying z = 0.1428571429
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