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Simplifying 3(m + -7) = 4(m + -3) Reorder the terms: 3(-7 + m) = 4(m + -3) (-7 * 3 + m * 3) = 4(m + -3) (-21 + 3m) = 4(m + -3) Reorder the terms: -21 + 3m = 4(-3 + m) -21 + 3m = (-3 * 4 + m * 4) -21 + 3m = (-12 + 4m) Solving -21 + 3m = -12 + 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. -21 + 3m + -4m = -12 + 4m + -4m Combine like terms: 3m + -4m = -1m -21 + -1m = -12 + 4m + -4m Combine like terms: 4m + -4m = 0 -21 + -1m = -12 + 0 -21 + -1m = -12 Add '21' to each side of the equation. -21 + 21 + -1m = -12 + 21 Combine like terms: -21 + 21 = 0 0 + -1m = -12 + 21 -1m = -12 + 21 Combine like terms: -12 + 21 = 9 -1m = 9 Divide each side by '-1'. m = -9 Simplifying m = -9
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