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Simplifying 38 + -6m = 2(m + 3) Reorder the terms: 38 + -6m = 2(3 + m) 38 + -6m = (3 * 2 + m * 2) 38 + -6m = (6 + 2m) Solving 38 + -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. 38 + -6m + -2m = 6 + 2m + -2m Combine like terms: -6m + -2m = -8m 38 + -8m = 6 + 2m + -2m Combine like terms: 2m + -2m = 0 38 + -8m = 6 + 0 38 + -8m = 6 Add '-38' to each side of the equation. 38 + -38 + -8m = 6 + -38 Combine like terms: 38 + -38 = 0 0 + -8m = 6 + -38 -8m = 6 + -38 Combine like terms: 6 + -38 = -32 -8m = -32 Divide each side by '-8'. m = 4 Simplifying m = 4
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