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Simplifying 5(-2 + 2m) + 3 = 5 + 6m + -27 (-2 * 5 + 2m * 5) + 3 = 5 + 6m + -27 (-10 + 10m) + 3 = 5 + 6m + -27 Reorder the terms: -10 + 3 + 10m = 5 + 6m + -27 Combine like terms: -10 + 3 = -7 -7 + 10m = 5 + 6m + -27 Reorder the terms: -7 + 10m = 5 + -27 + 6m Combine like terms: 5 + -27 = -22 -7 + 10m = -22 + 6m Solving -7 + 10m = -22 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -7 + 10m + -6m = -22 + 6m + -6m Combine like terms: 10m + -6m = 4m -7 + 4m = -22 + 6m + -6m Combine like terms: 6m + -6m = 0 -7 + 4m = -22 + 0 -7 + 4m = -22 Add '7' to each side of the equation. -7 + 7 + 4m = -22 + 7 Combine like terms: -7 + 7 = 0 0 + 4m = -22 + 7 4m = -22 + 7 Combine like terms: -22 + 7 = -15 4m = -15 Divide each side by '4'. m = -3.75 Simplifying m = -3.75
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