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Simplifying 61z + -83 = z + -1(-59) Reorder the terms: -83 + 61z = z + -1(-59) Multiply -1 * -59 -83 + 61z = z + 59 Reorder the terms: -83 + 61z = 59 + z Solving -83 + 61z = 59 + 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. -83 + 61z + -1z = 59 + z + -1z Combine like terms: 61z + -1z = 60z -83 + 60z = 59 + z + -1z Combine like terms: z + -1z = 0 -83 + 60z = 59 + 0 -83 + 60z = 59 Add '83' to each side of the equation. -83 + 83 + 60z = 59 + 83 Combine like terms: -83 + 83 = 0 0 + 60z = 59 + 83 60z = 59 + 83 Combine like terms: 59 + 83 = 142 60z = 142 Divide each side by '60'. z = 2.366666667 Simplifying z = 2.366666667
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