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Simplifying 53 + -5(m + 20) = 67 + -8(m + 3) Reorder the terms: 53 + -5(20 + m) = 67 + -8(m + 3) 53 + (20 * -5 + m * -5) = 67 + -8(m + 3) 53 + (-100 + -5m) = 67 + -8(m + 3) Combine like terms: 53 + -100 = -47 -47 + -5m = 67 + -8(m + 3) Reorder the terms: -47 + -5m = 67 + -8(3 + m) -47 + -5m = 67 + (3 * -8 + m * -8) -47 + -5m = 67 + (-24 + -8m) Combine like terms: 67 + -24 = 43 -47 + -5m = 43 + -8m Solving -47 + -5m = 43 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -47 + -5m + 8m = 43 + -8m + 8m Combine like terms: -5m + 8m = 3m -47 + 3m = 43 + -8m + 8m Combine like terms: -8m + 8m = 0 -47 + 3m = 43 + 0 -47 + 3m = 43 Add '47' to each side of the equation. -47 + 47 + 3m = 43 + 47 Combine like terms: -47 + 47 = 0 0 + 3m = 43 + 47 3m = 43 + 47 Combine like terms: 43 + 47 = 90 3m = 90 Divide each side by '3'. m = 30 Simplifying m = 30
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