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Simplifying -41(z + -98) = z + -1(-31) Reorder the terms: -41(-98 + z) = z + -1(-31) (-98 * -41 + z * -41) = z + -1(-31) (4018 + -41z) = z + -1(-31) Multiply -1 * -31 4018 + -41z = z + 31 Reorder the terms: 4018 + -41z = 31 + z Solving 4018 + -41z = 31 + 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. 4018 + -41z + -1z = 31 + z + -1z Combine like terms: -41z + -1z = -42z 4018 + -42z = 31 + z + -1z Combine like terms: z + -1z = 0 4018 + -42z = 31 + 0 4018 + -42z = 31 Add '-4018' to each side of the equation. 4018 + -4018 + -42z = 31 + -4018 Combine like terms: 4018 + -4018 = 0 0 + -42z = 31 + -4018 -42z = 31 + -4018 Combine like terms: 31 + -4018 = -3987 -42z = -3987 Divide each side by '-42'. z = 94.92857143 Simplifying z = 94.92857143
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