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Simplifying -65(z + -61) = z + (-61) Reorder the terms: -65(-61 + z) = z + (-61) (-61 * -65 + z * -65) = z + (-61) (3965 + -65z) = z + (-61) 3965 + -65z = z + -61 Reorder the terms: 3965 + -65z = -61 + z Solving 3965 + -65z = -61 + 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. 3965 + -65z + -1z = -61 + z + -1z Combine like terms: -65z + -1z = -66z 3965 + -66z = -61 + z + -1z Combine like terms: z + -1z = 0 3965 + -66z = -61 + 0 3965 + -66z = -61 Add '-3965' to each side of the equation. 3965 + -3965 + -66z = -61 + -3965 Combine like terms: 3965 + -3965 = 0 0 + -66z = -61 + -3965 -66z = -61 + -3965 Combine like terms: -61 + -3965 = -4026 -66z = -4026 Divide each side by '-66'. z = 61 Simplifying z = 61
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