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Simplifying 8m + 38 = 3(8m + 2) Reorder the terms: 38 + 8m = 3(8m + 2) Reorder the terms: 38 + 8m = 3(2 + 8m) 38 + 8m = (2 * 3 + 8m * 3) 38 + 8m = (6 + 24m) Solving 38 + 8m = 6 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. 38 + 8m + -24m = 6 + 24m + -24m Combine like terms: 8m + -24m = -16m 38 + -16m = 6 + 24m + -24m Combine like terms: 24m + -24m = 0 38 + -16m = 6 + 0 38 + -16m = 6 Add '-38' to each side of the equation. 38 + -38 + -16m = 6 + -38 Combine like terms: 38 + -38 = 0 0 + -16m = 6 + -38 -16m = 6 + -38 Combine like terms: 6 + -38 = -32 -16m = -32 Divide each side by '-16'. m = 2 Simplifying m = 2
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