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Simplifying 10 + -6(z + -8) = 9 + z Reorder the terms: 10 + -6(-8 + z) = 9 + z 10 + (-8 * -6 + z * -6) = 9 + z 10 + (48 + -6z) = 9 + z Combine like terms: 10 + 48 = 58 58 + -6z = 9 + z Solving 58 + -6z = 9 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 58 + -6z + -1z = 9 + z + -1z Combine like terms: -6z + -1z = -7z 58 + -7z = 9 + z + -1z Combine like terms: z + -1z = 0 58 + -7z = 9 + 0 58 + -7z = 9 Add '-58' to each side of the equation. 58 + -58 + -7z = 9 + -58 Combine like terms: 58 + -58 = 0 0 + -7z = 9 + -58 -7z = 9 + -58 Combine like terms: 9 + -58 = -49 -7z = -49 Divide each side by '-7'. z = 7 Simplifying z = 7
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