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Simplifying -1(-34 + -66) = (-32 + z) + -1(-32) Combine like terms: -34 + -66 = -100 -1(-100) = (-32 + z) + -1(-32) Multiply -1 * -100 100 = (-32 + z) + -1(-32) Remove parenthesis around (-32 + z) 100 = -32 + z + -1(-32) Multiply -1 * -32 100 = -32 + z + 32 Reorder the terms: 100 = -32 + 32 + z Combine like terms: -32 + 32 = 0 100 = 0 + z 100 = z Solving 100 = 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. 100 + -1z = z + -1z Combine like terms: z + -1z = 0 100 + -1z = 0 Add '-100' to each side of the equation. 100 + -100 + -1z = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1z = 0 + -100 -1z = 0 + -100 Combine like terms: 0 + -100 = -100 -1z = -100 Divide each side by '-1'. z = 100 Simplifying z = 100
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