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Simplifying 8(5z + 7) + -4(5z + -6) = 90 Reorder the terms: 8(7 + 5z) + -4(5z + -6) = 90 (7 * 8 + 5z * 8) + -4(5z + -6) = 90 (56 + 40z) + -4(5z + -6) = 90 Reorder the terms: 56 + 40z + -4(-6 + 5z) = 90 56 + 40z + (-6 * -4 + 5z * -4) = 90 56 + 40z + (24 + -20z) = 90 Reorder the terms: 56 + 24 + 40z + -20z = 90 Combine like terms: 56 + 24 = 80 80 + 40z + -20z = 90 Combine like terms: 40z + -20z = 20z 80 + 20z = 90 Solving 80 + 20z = 90 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 20z = 90 + -80 Combine like terms: 80 + -80 = 0 0 + 20z = 90 + -80 20z = 90 + -80 Combine like terms: 90 + -80 = 10 20z = 10 Divide each side by '20'. z = 0.5 Simplifying z = 0.5
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