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Simplifying 60(2z + 14) = 36(5z) Reorder the terms: 60(14 + 2z) = 36(5z) (14 * 60 + 2z * 60) = 36(5z) (840 + 120z) = 36(5z) Remove parenthesis around (5z) 840 + 120z = 36 * 5z Multiply 36 * 5 840 + 120z = 180z Solving 840 + 120z = 180z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-180z' to each side of the equation. 840 + 120z + -180z = 180z + -180z Combine like terms: 120z + -180z = -60z 840 + -60z = 180z + -180z Combine like terms: 180z + -180z = 0 840 + -60z = 0 Add '-840' to each side of the equation. 840 + -840 + -60z = 0 + -840 Combine like terms: 840 + -840 = 0 0 + -60z = 0 + -840 -60z = 0 + -840 Combine like terms: 0 + -840 = -840 -60z = -840 Divide each side by '-60'. z = 14 Simplifying z = 14
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