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Simplifying 5(2m + -3) = 2(m + -2) + 5 Reorder the terms: 5(-3 + 2m) = 2(m + -2) + 5 (-3 * 5 + 2m * 5) = 2(m + -2) + 5 (-15 + 10m) = 2(m + -2) + 5 Reorder the terms: -15 + 10m = 2(-2 + m) + 5 -15 + 10m = (-2 * 2 + m * 2) + 5 -15 + 10m = (-4 + 2m) + 5 Reorder the terms: -15 + 10m = -4 + 5 + 2m Combine like terms: -4 + 5 = 1 -15 + 10m = 1 + 2m Solving -15 + 10m = 1 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -15 + 10m + -2m = 1 + 2m + -2m Combine like terms: 10m + -2m = 8m -15 + 8m = 1 + 2m + -2m Combine like terms: 2m + -2m = 0 -15 + 8m = 1 + 0 -15 + 8m = 1 Add '15' to each side of the equation. -15 + 15 + 8m = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 8m = 1 + 15 8m = 1 + 15 Combine like terms: 1 + 15 = 16 8m = 16 Divide each side by '8'. m = 2 Simplifying m = 2
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