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Simplifying 7(m + -2) + 2(9 + -5M) = -4(m + -3) + 2 Reorder the terms: 7(-2 + m) + 2(9 + -5M) = -4(m + -3) + 2 (-2 * 7 + m * 7) + 2(9 + -5M) = -4(m + -3) + 2 (-14 + 7m) + 2(9 + -5M) = -4(m + -3) + 2 -14 + 7m + (9 * 2 + -5M * 2) = -4(m + -3) + 2 -14 + 7m + (18 + -10M) = -4(m + -3) + 2 Reorder the terms: -14 + 18 + -10M + 7m = -4(m + -3) + 2 Combine like terms: -14 + 18 = 4 4 + -10M + 7m = -4(m + -3) + 2 Reorder the terms: 4 + -10M + 7m = -4(-3 + m) + 2 4 + -10M + 7m = (-3 * -4 + m * -4) + 2 4 + -10M + 7m = (12 + -4m) + 2 Reorder the terms: 4 + -10M + 7m = 12 + 2 + -4m Combine like terms: 12 + 2 = 14 4 + -10M + 7m = 14 + -4m Solving 4 + -10M + 7m = 14 + -4m 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 + -10M + -4 + 7m = 14 + -4 + -4m Reorder the terms: 4 + -4 + -10M + 7m = 14 + -4 + -4m Combine like terms: 4 + -4 = 0 0 + -10M + 7m = 14 + -4 + -4m -10M + 7m = 14 + -4 + -4m Combine like terms: 14 + -4 = 10 -10M + 7m = 10 + -4m Add '-7m' to each side of the equation. -10M + 7m + -7m = 10 + -4m + -7m Combine like terms: 7m + -7m = 0 -10M + 0 = 10 + -4m + -7m -10M = 10 + -4m + -7m Combine like terms: -4m + -7m = -11m -10M = 10 + -11m Divide each side by '-10'. M = -1 + 1.1m Simplifying M = -1 + 1.1m
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