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Simplifying 38 + 7m = 8(m + 4) Reorder the terms: 38 + 7m = 8(4 + m) 38 + 7m = (4 * 8 + m * 8) 38 + 7m = (32 + 8m) Solving 38 + 7m = 32 + 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. 38 + 7m + -8m = 32 + 8m + -8m Combine like terms: 7m + -8m = -1m 38 + -1m = 32 + 8m + -8m Combine like terms: 8m + -8m = 0 38 + -1m = 32 + 0 38 + -1m = 32 Add '-38' to each side of the equation. 38 + -38 + -1m = 32 + -38 Combine like terms: 38 + -38 = 0 0 + -1m = 32 + -38 -1m = 32 + -38 Combine like terms: 32 + -38 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6
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