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Simplifying 10 + -1(4z + -2) = 9 + -5z Reorder the terms: 10 + -1(-2 + 4z) = 9 + -5z 10 + (-2 * -1 + 4z * -1) = 9 + -5z 10 + (2 + -4z) = 9 + -5z Combine like terms: 10 + 2 = 12 12 + -4z = 9 + -5z Solving 12 + -4z = 9 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 12 + -4z + 5z = 9 + -5z + 5z Combine like terms: -4z + 5z = 1z 12 + 1z = 9 + -5z + 5z Combine like terms: -5z + 5z = 0 12 + 1z = 9 + 0 12 + 1z = 9 Add '-12' to each side of the equation. 12 + -12 + 1z = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 9 + -12 1z = 9 + -12 Combine like terms: 9 + -12 = -3 1z = -3 Divide each side by '1'. z = -3 Simplifying z = -3
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