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Simplifying 10(m + -2) = -7(m + -2) Reorder the terms: 10(-2 + m) = -7(m + -2) (-2 * 10 + m * 10) = -7(m + -2) (-20 + 10m) = -7(m + -2) Reorder the terms: -20 + 10m = -7(-2 + m) -20 + 10m = (-2 * -7 + m * -7) -20 + 10m = (14 + -7m) Solving -20 + 10m = 14 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -20 + 10m + 7m = 14 + -7m + 7m Combine like terms: 10m + 7m = 17m -20 + 17m = 14 + -7m + 7m Combine like terms: -7m + 7m = 0 -20 + 17m = 14 + 0 -20 + 17m = 14 Add '20' to each side of the equation. -20 + 20 + 17m = 14 + 20 Combine like terms: -20 + 20 = 0 0 + 17m = 14 + 20 17m = 14 + 20 Combine like terms: 14 + 20 = 34 17m = 34 Divide each side by '17'. m = 2 Simplifying m = 2
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