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Simplifying 7m + -20 + -1m + -45 = -4m + 55 Reorder the terms: -20 + -45 + 7m + -1m = -4m + 55 Combine like terms: -20 + -45 = -65 -65 + 7m + -1m = -4m + 55 Combine like terms: 7m + -1m = 6m -65 + 6m = -4m + 55 Reorder the terms: -65 + 6m = 55 + -4m Solving -65 + 6m = 55 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -65 + 6m + 4m = 55 + -4m + 4m Combine like terms: 6m + 4m = 10m -65 + 10m = 55 + -4m + 4m Combine like terms: -4m + 4m = 0 -65 + 10m = 55 + 0 -65 + 10m = 55 Add '65' to each side of the equation. -65 + 65 + 10m = 55 + 65 Combine like terms: -65 + 65 = 0 0 + 10m = 55 + 65 10m = 55 + 65 Combine like terms: 55 + 65 = 120 10m = 120 Divide each side by '10'. m = 12 Simplifying m = 12
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