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Simplifying 4(m + -3) = 3(u + -4) + -1(u + -6) Reorder the terms: 4(-3 + m) = 3(u + -4) + -1(u + -6) (-3 * 4 + m * 4) = 3(u + -4) + -1(u + -6) (-12 + 4m) = 3(u + -4) + -1(u + -6) Reorder the terms: -12 + 4m = 3(-4 + u) + -1(u + -6) -12 + 4m = (-4 * 3 + u * 3) + -1(u + -6) -12 + 4m = (-12 + 3u) + -1(u + -6) Reorder the terms: -12 + 4m = -12 + 3u + -1(-6 + u) -12 + 4m = -12 + 3u + (-6 * -1 + u * -1) -12 + 4m = -12 + 3u + (6 + -1u) Reorder the terms: -12 + 4m = -12 + 6 + 3u + -1u Combine like terms: -12 + 6 = -6 -12 + 4m = -6 + 3u + -1u Combine like terms: 3u + -1u = 2u -12 + 4m = -6 + 2u Solving -12 + 4m = -6 + 2u Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4m = -6 + 12 + 2u Combine like terms: -12 + 12 = 0 0 + 4m = -6 + 12 + 2u 4m = -6 + 12 + 2u Combine like terms: -6 + 12 = 6 4m = 6 + 2u Divide each side by '4'. m = 1.5 + 0.5u Simplifying m = 1.5 + 0.5u
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