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Simplifying 2(2m + -3) = -10(m + 2) Reorder the terms: 2(-3 + 2m) = -10(m + 2) (-3 * 2 + 2m * 2) = -10(m + 2) (-6 + 4m) = -10(m + 2) Reorder the terms: -6 + 4m = -10(2 + m) -6 + 4m = (2 * -10 + m * -10) -6 + 4m = (-20 + -10m) Solving -6 + 4m = -20 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. -6 + 4m + 10m = -20 + -10m + 10m Combine like terms: 4m + 10m = 14m -6 + 14m = -20 + -10m + 10m Combine like terms: -10m + 10m = 0 -6 + 14m = -20 + 0 -6 + 14m = -20 Add '6' to each side of the equation. -6 + 6 + 14m = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 14m = -20 + 6 14m = -20 + 6 Combine like terms: -20 + 6 = -14 14m = -14 Divide each side by '14'. m = -1 Simplifying m = -1
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