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Simplifying 6 + -8m + -12 = m + 3m + -3 Reorder the terms: 6 + -12 + -8m = m + 3m + -3 Combine like terms: 6 + -12 = -6 -6 + -8m = m + 3m + -3 Reorder the terms: -6 + -8m = -3 + m + 3m Combine like terms: m + 3m = 4m -6 + -8m = -3 + 4m Solving -6 + -8m = -3 + 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. -6 + -8m + -4m = -3 + 4m + -4m Combine like terms: -8m + -4m = -12m -6 + -12m = -3 + 4m + -4m Combine like terms: 4m + -4m = 0 -6 + -12m = -3 + 0 -6 + -12m = -3 Add '6' to each side of the equation. -6 + 6 + -12m = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -12m = -3 + 6 -12m = -3 + 6 Combine like terms: -3 + 6 = 3 -12m = 3 Divide each side by '-12'. m = -0.25 Simplifying m = -0.25
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