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Simplifying 65(m + 1) = 54(m + 1) Reorder the terms: 65(1 + m) = 54(m + 1) (1 * 65 + m * 65) = 54(m + 1) (65 + 65m) = 54(m + 1) Reorder the terms: 65 + 65m = 54(1 + m) 65 + 65m = (1 * 54 + m * 54) 65 + 65m = (54 + 54m) Solving 65 + 65m = 54 + 54m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-54m' to each side of the equation. 65 + 65m + -54m = 54 + 54m + -54m Combine like terms: 65m + -54m = 11m 65 + 11m = 54 + 54m + -54m Combine like terms: 54m + -54m = 0 65 + 11m = 54 + 0 65 + 11m = 54 Add '-65' to each side of the equation. 65 + -65 + 11m = 54 + -65 Combine like terms: 65 + -65 = 0 0 + 11m = 54 + -65 11m = 54 + -65 Combine like terms: 54 + -65 = -11 11m = -11 Divide each side by '11'. m = -1 Simplifying m = -1
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