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Simplifying 5(2m + 11) = 3 + 2(m + -9) Reorder the terms: 5(11 + 2m) = 3 + 2(m + -9) (11 * 5 + 2m * 5) = 3 + 2(m + -9) (55 + 10m) = 3 + 2(m + -9) Reorder the terms: 55 + 10m = 3 + 2(-9 + m) 55 + 10m = 3 + (-9 * 2 + m * 2) 55 + 10m = 3 + (-18 + 2m) Combine like terms: 3 + -18 = -15 55 + 10m = -15 + 2m Solving 55 + 10m = -15 + 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. 55 + 10m + -2m = -15 + 2m + -2m Combine like terms: 10m + -2m = 8m 55 + 8m = -15 + 2m + -2m Combine like terms: 2m + -2m = 0 55 + 8m = -15 + 0 55 + 8m = -15 Add '-55' to each side of the equation. 55 + -55 + 8m = -15 + -55 Combine like terms: 55 + -55 = 0 0 + 8m = -15 + -55 8m = -15 + -55 Combine like terms: -15 + -55 = -70 8m = -70 Divide each side by '8'. m = -8.75 Simplifying m = -8.75
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