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Simplifying 4(m + -3) + 2 = 6(m + -1) Reorder the terms: 4(-3 + m) + 2 = 6(m + -1) (-3 * 4 + m * 4) + 2 = 6(m + -1) (-12 + 4m) + 2 = 6(m + -1) Reorder the terms: -12 + 2 + 4m = 6(m + -1) Combine like terms: -12 + 2 = -10 -10 + 4m = 6(m + -1) Reorder the terms: -10 + 4m = 6(-1 + m) -10 + 4m = (-1 * 6 + m * 6) -10 + 4m = (-6 + 6m) Solving -10 + 4m = -6 + 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. -10 + 4m + -6m = -6 + 6m + -6m Combine like terms: 4m + -6m = -2m -10 + -2m = -6 + 6m + -6m Combine like terms: 6m + -6m = 0 -10 + -2m = -6 + 0 -10 + -2m = -6 Add '10' to each side of the equation. -10 + 10 + -2m = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -2m = -6 + 10 -2m = -6 + 10 Combine like terms: -6 + 10 = 4 -2m = 4 Divide each side by '-2'. m = -2 Simplifying m = -2
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