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Simplifying -7(4m + 3) = -6(5m + 2) + 3m Reorder the terms: -7(3 + 4m) = -6(5m + 2) + 3m (3 * -7 + 4m * -7) = -6(5m + 2) + 3m (-21 + -28m) = -6(5m + 2) + 3m Reorder the terms: -21 + -28m = -6(2 + 5m) + 3m -21 + -28m = (2 * -6 + 5m * -6) + 3m -21 + -28m = (-12 + -30m) + 3m Combine like terms: -30m + 3m = -27m -21 + -28m = -12 + -27m Solving -21 + -28m = -12 + -27m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '27m' to each side of the equation. -21 + -28m + 27m = -12 + -27m + 27m Combine like terms: -28m + 27m = -1m -21 + -1m = -12 + -27m + 27m Combine like terms: -27m + 27m = 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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