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Simplifying 7(m + -3) + -2(7m + 4) = -8(m + 2) + 10 Reorder the terms: 7(-3 + m) + -2(7m + 4) = -8(m + 2) + 10 (-3 * 7 + m * 7) + -2(7m + 4) = -8(m + 2) + 10 (-21 + 7m) + -2(7m + 4) = -8(m + 2) + 10 Reorder the terms: -21 + 7m + -2(4 + 7m) = -8(m + 2) + 10 -21 + 7m + (4 * -2 + 7m * -2) = -8(m + 2) + 10 -21 + 7m + (-8 + -14m) = -8(m + 2) + 10 Reorder the terms: -21 + -8 + 7m + -14m = -8(m + 2) + 10 Combine like terms: -21 + -8 = -29 -29 + 7m + -14m = -8(m + 2) + 10 Combine like terms: 7m + -14m = -7m -29 + -7m = -8(m + 2) + 10 Reorder the terms: -29 + -7m = -8(2 + m) + 10 -29 + -7m = (2 * -8 + m * -8) + 10 -29 + -7m = (-16 + -8m) + 10 Reorder the terms: -29 + -7m = -16 + 10 + -8m Combine like terms: -16 + 10 = -6 -29 + -7m = -6 + -8m Solving -29 + -7m = -6 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -29 + -7m + 8m = -6 + -8m + 8m Combine like terms: -7m + 8m = 1m -29 + 1m = -6 + -8m + 8m Combine like terms: -8m + 8m = 0 -29 + 1m = -6 + 0 -29 + 1m = -6 Add '29' to each side of the equation. -29 + 29 + 1m = -6 + 29 Combine like terms: -29 + 29 = 0 0 + 1m = -6 + 29 1m = -6 + 29 Combine like terms: -6 + 29 = 23 1m = 23 Divide each side by '1'. m = 23 Simplifying m = 23
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