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Simplifying 4(Z + -53) = 7(Z + -71) Reorder the terms: 4(-53 + Z) = 7(Z + -71) (-53 * 4 + Z * 4) = 7(Z + -71) (-212 + 4Z) = 7(Z + -71) Reorder the terms: -212 + 4Z = 7(-71 + Z) -212 + 4Z = (-71 * 7 + Z * 7) -212 + 4Z = (-497 + 7Z) Solving -212 + 4Z = -497 + 7Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-7Z' to each side of the equation. -212 + 4Z + -7Z = -497 + 7Z + -7Z Combine like terms: 4Z + -7Z = -3Z -212 + -3Z = -497 + 7Z + -7Z Combine like terms: 7Z + -7Z = 0 -212 + -3Z = -497 + 0 -212 + -3Z = -497 Add '212' to each side of the equation. -212 + 212 + -3Z = -497 + 212 Combine like terms: -212 + 212 = 0 0 + -3Z = -497 + 212 -3Z = -497 + 212 Combine like terms: -497 + 212 = -285 -3Z = -285 Divide each side by '-3'. Z = 95 Simplifying Z = 95
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