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Simplifying -6(m + -3) + -9(2m + -3) = -25(m + -2) * 7 Reorder the terms: -6(-3 + m) + -9(2m + -3) = -25(m + -2) * 7 (-3 * -6 + m * -6) + -9(2m + -3) = -25(m + -2) * 7 (18 + -6m) + -9(2m + -3) = -25(m + -2) * 7 Reorder the terms: 18 + -6m + -9(-3 + 2m) = -25(m + -2) * 7 18 + -6m + (-3 * -9 + 2m * -9) = -25(m + -2) * 7 18 + -6m + (27 + -18m) = -25(m + -2) * 7 Reorder the terms: 18 + 27 + -6m + -18m = -25(m + -2) * 7 Combine like terms: 18 + 27 = 45 45 + -6m + -18m = -25(m + -2) * 7 Combine like terms: -6m + -18m = -24m 45 + -24m = -25(m + -2) * 7 Reorder the terms: 45 + -24m = -25(-2 + m) * 7 Reorder the terms for easier multiplication: 45 + -24m = -25 * 7(-2 + m) Multiply -25 * 7 45 + -24m = -175(-2 + m) 45 + -24m = (-2 * -175 + m * -175) 45 + -24m = (350 + -175m) Solving 45 + -24m = 350 + -175m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '175m' to each side of the equation. 45 + -24m + 175m = 350 + -175m + 175m Combine like terms: -24m + 175m = 151m 45 + 151m = 350 + -175m + 175m Combine like terms: -175m + 175m = 0 45 + 151m = 350 + 0 45 + 151m = 350 Add '-45' to each side of the equation. 45 + -45 + 151m = 350 + -45 Combine like terms: 45 + -45 = 0 0 + 151m = 350 + -45 151m = 350 + -45 Combine like terms: 350 + -45 = 305 151m = 305 Divide each side by '151'. m = 2.01986755 Simplifying m = 2.01986755
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