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Simplifying 5m + 9 = 3(m + -5) * 7 Reorder the terms: 9 + 5m = 3(m + -5) * 7 Reorder the terms: 9 + 5m = 3(-5 + m) * 7 Reorder the terms for easier multiplication: 9 + 5m = 3 * 7(-5 + m) Multiply 3 * 7 9 + 5m = 21(-5 + m) 9 + 5m = (-5 * 21 + m * 21) 9 + 5m = (-105 + 21m) Solving 9 + 5m = -105 + 21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21m' to each side of the equation. 9 + 5m + -21m = -105 + 21m + -21m Combine like terms: 5m + -21m = -16m 9 + -16m = -105 + 21m + -21m Combine like terms: 21m + -21m = 0 9 + -16m = -105 + 0 9 + -16m = -105 Add '-9' to each side of the equation. 9 + -9 + -16m = -105 + -9 Combine like terms: 9 + -9 = 0 0 + -16m = -105 + -9 -16m = -105 + -9 Combine like terms: -105 + -9 = -114 -16m = -114 Divide each side by '-16'. m = 7.125 Simplifying m = 7.125
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