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Simplifying 3m + 8 + 5(4m + -3) = 3(m + 3) Reorder the terms: 3m + 8 + 5(-3 + 4m) = 3(m + 3) 3m + 8 + (-3 * 5 + 4m * 5) = 3(m + 3) 3m + 8 + (-15 + 20m) = 3(m + 3) Reorder the terms: 8 + -15 + 3m + 20m = 3(m + 3) Combine like terms: 8 + -15 = -7 -7 + 3m + 20m = 3(m + 3) Combine like terms: 3m + 20m = 23m -7 + 23m = 3(m + 3) Reorder the terms: -7 + 23m = 3(3 + m) -7 + 23m = (3 * 3 + m * 3) -7 + 23m = (9 + 3m) Solving -7 + 23m = 9 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -7 + 23m + -3m = 9 + 3m + -3m Combine like terms: 23m + -3m = 20m -7 + 20m = 9 + 3m + -3m Combine like terms: 3m + -3m = 0 -7 + 20m = 9 + 0 -7 + 20m = 9 Add '7' to each side of the equation. -7 + 7 + 20m = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 20m = 9 + 7 20m = 9 + 7 Combine like terms: 9 + 7 = 16 20m = 16 Divide each side by '20'. m = 0.8 Simplifying m = 0.8
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