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Simplifying -7(z + -8) + -1(5z + -3) = -3z Reorder the terms: -7(-8 + z) + -1(5z + -3) = -3z (-8 * -7 + z * -7) + -1(5z + -3) = -3z (56 + -7z) + -1(5z + -3) = -3z Reorder the terms: 56 + -7z + -1(-3 + 5z) = -3z 56 + -7z + (-3 * -1 + 5z * -1) = -3z 56 + -7z + (3 + -5z) = -3z Reorder the terms: 56 + 3 + -7z + -5z = -3z Combine like terms: 56 + 3 = 59 59 + -7z + -5z = -3z Combine like terms: -7z + -5z = -12z 59 + -12z = -3z Solving 59 + -12z = -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 59 + -12z + 3z = -3z + 3z Combine like terms: -12z + 3z = -9z 59 + -9z = -3z + 3z Combine like terms: -3z + 3z = 0 59 + -9z = 0 Add '-59' to each side of the equation. 59 + -59 + -9z = 0 + -59 Combine like terms: 59 + -59 = 0 0 + -9z = 0 + -59 -9z = 0 + -59 Combine like terms: 0 + -59 = -59 -9z = -59 Divide each side by '-9'. z = 6.555555556 Simplifying z = 6.555555556
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