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Simplifying 4m + -1 = 12 + 10(m + 3) Reorder the terms: -1 + 4m = 12 + 10(m + 3) Reorder the terms: -1 + 4m = 12 + 10(3 + m) -1 + 4m = 12 + (3 * 10 + m * 10) -1 + 4m = 12 + (30 + 10m) Combine like terms: 12 + 30 = 42 -1 + 4m = 42 + 10m Solving -1 + 4m = 42 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -1 + 4m + -10m = 42 + 10m + -10m Combine like terms: 4m + -10m = -6m -1 + -6m = 42 + 10m + -10m Combine like terms: 10m + -10m = 0 -1 + -6m = 42 + 0 -1 + -6m = 42 Add '1' to each side of the equation. -1 + 1 + -6m = 42 + 1 Combine like terms: -1 + 1 = 0 0 + -6m = 42 + 1 -6m = 42 + 1 Combine like terms: 42 + 1 = 43 -6m = 43 Divide each side by '-6'. m = -7.166666667 Simplifying m = -7.166666667
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