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Simplifying -5(z + -5) + -1(4z + -7) = -10Z Reorder the terms: -5(-5 + z) + -1(4z + -7) = -10Z (-5 * -5 + z * -5) + -1(4z + -7) = -10Z (25 + -5z) + -1(4z + -7) = -10Z Reorder the terms: 25 + -5z + -1(-7 + 4z) = -10Z 25 + -5z + (-7 * -1 + 4z * -1) = -10Z 25 + -5z + (7 + -4z) = -10Z Reorder the terms: 25 + 7 + -5z + -4z = -10Z Combine like terms: 25 + 7 = 32 32 + -5z + -4z = -10Z Combine like terms: -5z + -4z = -9z 32 + -9z = -10Z Solving 32 + -9z = -10Z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -9z = -32 + -10Z Combine like terms: 32 + -32 = 0 0 + -9z = -32 + -10Z -9z = -32 + -10Z Divide each side by '-9'. z = 3.555555556 + 1.111111111Z Simplifying z = 3.555555556 + 1.111111111Z
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