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Simplifying 51(z + -21) = z + 58 Reorder the terms: 51(-21 + z) = z + 58 (-21 * 51 + z * 51) = z + 58 (-1071 + 51z) = z + 58 Reorder the terms: -1071 + 51z = 58 + z Solving -1071 + 51z = 58 + 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. -1071 + 51z + -1z = 58 + z + -1z Combine like terms: 51z + -1z = 50z -1071 + 50z = 58 + z + -1z Combine like terms: z + -1z = 0 -1071 + 50z = 58 + 0 -1071 + 50z = 58 Add '1071' to each side of the equation. -1071 + 1071 + 50z = 58 + 1071 Combine like terms: -1071 + 1071 = 0 0 + 50z = 58 + 1071 50z = 58 + 1071 Combine like terms: 58 + 1071 = 1129 50z = 1129 Divide each side by '50'. z = 22.58 Simplifying z = 22.58
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