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Simplifying 4(m + -3) = 3m + -6(m + -7) Reorder the terms: 4(-3 + m) = 3m + -6(m + -7) (-3 * 4 + m * 4) = 3m + -6(m + -7) (-12 + 4m) = 3m + -6(m + -7) Reorder the terms: -12 + 4m = 3m + -6(-7 + m) -12 + 4m = 3m + (-7 * -6 + m * -6) -12 + 4m = 3m + (42 + -6m) Reorder the terms: -12 + 4m = 42 + 3m + -6m Combine like terms: 3m + -6m = -3m -12 + 4m = 42 + -3m Solving -12 + 4m = 42 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -12 + 4m + 3m = 42 + -3m + 3m Combine like terms: 4m + 3m = 7m -12 + 7m = 42 + -3m + 3m Combine like terms: -3m + 3m = 0 -12 + 7m = 42 + 0 -12 + 7m = 42 Add '12' to each side of the equation. -12 + 12 + 7m = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 7m = 42 + 12 7m = 42 + 12 Combine like terms: 42 + 12 = 54 7m = 54 Divide each side by '7'. m = 7.714285714 Simplifying m = 7.714285714
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