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Simplifying 4(m + -10) + -3(2m + -12) = 12 Reorder the terms: 4(-10 + m) + -3(2m + -12) = 12 (-10 * 4 + m * 4) + -3(2m + -12) = 12 (-40 + 4m) + -3(2m + -12) = 12 Reorder the terms: -40 + 4m + -3(-12 + 2m) = 12 -40 + 4m + (-12 * -3 + 2m * -3) = 12 -40 + 4m + (36 + -6m) = 12 Reorder the terms: -40 + 36 + 4m + -6m = 12 Combine like terms: -40 + 36 = -4 -4 + 4m + -6m = 12 Combine like terms: 4m + -6m = -2m -4 + -2m = 12 Solving -4 + -2m = 12 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -2m = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -2m = 12 + 4 -2m = 12 + 4 Combine like terms: 12 + 4 = 16 -2m = 16 Divide each side by '-2'. m = -8 Simplifying m = -8
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