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Simplifying 15m + 61 = 38m + -100 Reorder the terms: 61 + 15m = 38m + -100 Reorder the terms: 61 + 15m = -100 + 38m Solving 61 + 15m = -100 + 38m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-38m' to each side of the equation. 61 + 15m + -38m = -100 + 38m + -38m Combine like terms: 15m + -38m = -23m 61 + -23m = -100 + 38m + -38m Combine like terms: 38m + -38m = 0 61 + -23m = -100 + 0 61 + -23m = -100 Add '-61' to each side of the equation. 61 + -61 + -23m = -100 + -61 Combine like terms: 61 + -61 = 0 0 + -23m = -100 + -61 -23m = -100 + -61 Combine like terms: -100 + -61 = -161 -23m = -161 Divide each side by '-23'. m = 7 Simplifying m = 7
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