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Simplifying -7(m + -5) + 7(9 + -4m) = -36(m + -3) + -6 Reorder the terms: -7(-5 + m) + 7(9 + -4m) = -36(m + -3) + -6 (-5 * -7 + m * -7) + 7(9 + -4m) = -36(m + -3) + -6 (35 + -7m) + 7(9 + -4m) = -36(m + -3) + -6 35 + -7m + (9 * 7 + -4m * 7) = -36(m + -3) + -6 35 + -7m + (63 + -28m) = -36(m + -3) + -6 Reorder the terms: 35 + 63 + -7m + -28m = -36(m + -3) + -6 Combine like terms: 35 + 63 = 98 98 + -7m + -28m = -36(m + -3) + -6 Combine like terms: -7m + -28m = -35m 98 + -35m = -36(m + -3) + -6 Reorder the terms: 98 + -35m = -36(-3 + m) + -6 98 + -35m = (-3 * -36 + m * -36) + -6 98 + -35m = (108 + -36m) + -6 Reorder the terms: 98 + -35m = 108 + -6 + -36m Combine like terms: 108 + -6 = 102 98 + -35m = 102 + -36m Solving 98 + -35m = 102 + -36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '36m' to each side of the equation. 98 + -35m + 36m = 102 + -36m + 36m Combine like terms: -35m + 36m = 1m 98 + 1m = 102 + -36m + 36m Combine like terms: -36m + 36m = 0 98 + 1m = 102 + 0 98 + 1m = 102 Add '-98' to each side of the equation. 98 + -98 + 1m = 102 + -98 Combine like terms: 98 + -98 = 0 0 + 1m = 102 + -98 1m = 102 + -98 Combine like terms: 102 + -98 = 4 1m = 4 Divide each side by '1'. m = 4 Simplifying m = 4
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