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Simplifying 4m + -8(-3m + 2) + 10 = 5 + -2(-7m + 3) Reorder the terms: 4m + -8(2 + -3m) + 10 = 5 + -2(-7m + 3) 4m + (2 * -8 + -3m * -8) + 10 = 5 + -2(-7m + 3) 4m + (-16 + 24m) + 10 = 5 + -2(-7m + 3) Reorder the terms: -16 + 10 + 4m + 24m = 5 + -2(-7m + 3) Combine like terms: -16 + 10 = -6 -6 + 4m + 24m = 5 + -2(-7m + 3) Combine like terms: 4m + 24m = 28m -6 + 28m = 5 + -2(-7m + 3) Reorder the terms: -6 + 28m = 5 + -2(3 + -7m) -6 + 28m = 5 + (3 * -2 + -7m * -2) -6 + 28m = 5 + (-6 + 14m) Combine like terms: 5 + -6 = -1 -6 + 28m = -1 + 14m Solving -6 + 28m = -1 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. -6 + 28m + -14m = -1 + 14m + -14m Combine like terms: 28m + -14m = 14m -6 + 14m = -1 + 14m + -14m Combine like terms: 14m + -14m = 0 -6 + 14m = -1 + 0 -6 + 14m = -1 Add '6' to each side of the equation. -6 + 6 + 14m = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 14m = -1 + 6 14m = -1 + 6 Combine like terms: -1 + 6 = 5 14m = 5 Divide each side by '14'. m = 0.3571428571 Simplifying m = 0.3571428571
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