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Simplifying 8(m + 3) + -6(1 + -2m) = 19(m + 2) + 5 Reorder the terms: 8(3 + m) + -6(1 + -2m) = 19(m + 2) + 5 (3 * 8 + m * 8) + -6(1 + -2m) = 19(m + 2) + 5 (24 + 8m) + -6(1 + -2m) = 19(m + 2) + 5 24 + 8m + (1 * -6 + -2m * -6) = 19(m + 2) + 5 24 + 8m + (-6 + 12m) = 19(m + 2) + 5 Reorder the terms: 24 + -6 + 8m + 12m = 19(m + 2) + 5 Combine like terms: 24 + -6 = 18 18 + 8m + 12m = 19(m + 2) + 5 Combine like terms: 8m + 12m = 20m 18 + 20m = 19(m + 2) + 5 Reorder the terms: 18 + 20m = 19(2 + m) + 5 18 + 20m = (2 * 19 + m * 19) + 5 18 + 20m = (38 + 19m) + 5 Reorder the terms: 18 + 20m = 38 + 5 + 19m Combine like terms: 38 + 5 = 43 18 + 20m = 43 + 19m Solving 18 + 20m = 43 + 19m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-19m' to each side of the equation. 18 + 20m + -19m = 43 + 19m + -19m Combine like terms: 20m + -19m = 1m 18 + 1m = 43 + 19m + -19m Combine like terms: 19m + -19m = 0 18 + 1m = 43 + 0 18 + 1m = 43 Add '-18' to each side of the equation. 18 + -18 + 1m = 43 + -18 Combine like terms: 18 + -18 = 0 0 + 1m = 43 + -18 1m = 43 + -18 Combine like terms: 43 + -18 = 25 1m = 25 Divide each side by '1'. m = 25 Simplifying m = 25
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