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Simplifying 5 + 3(2m + -5) = 2m + 6 Reorder the terms: 5 + 3(-5 + 2m) = 2m + 6 5 + (-5 * 3 + 2m * 3) = 2m + 6 5 + (-15 + 6m) = 2m + 6 Combine like terms: 5 + -15 = -10 -10 + 6m = 2m + 6 Reorder the terms: -10 + 6m = 6 + 2m Solving -10 + 6m = 6 + 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. -10 + 6m + -2m = 6 + 2m + -2m Combine like terms: 6m + -2m = 4m -10 + 4m = 6 + 2m + -2m Combine like terms: 2m + -2m = 0 -10 + 4m = 6 + 0 -10 + 4m = 6 Add '10' to each side of the equation. -10 + 10 + 4m = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 4m = 6 + 10 4m = 6 + 10 Combine like terms: 6 + 10 = 16 4m = 16 Divide each side by '4'. m = 4 Simplifying m = 4
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