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Simplifying 38 + -6m = 8(m + -4) Reorder the terms: 38 + -6m = 8(-4 + m) 38 + -6m = (-4 * 8 + m * 8) 38 + -6m = (-32 + 8m) Solving 38 + -6m = -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 + -6m + -8m = -32 + 8m + -8m Combine like terms: -6m + -8m = -14m 38 + -14m = -32 + 8m + -8m Combine like terms: 8m + -8m = 0 38 + -14m = -32 + 0 38 + -14m = -32 Add '-38' to each side of the equation. 38 + -38 + -14m = -32 + -38 Combine like terms: 38 + -38 = 0 0 + -14m = -32 + -38 -14m = -32 + -38 Combine like terms: -32 + -38 = -70 -14m = -70 Divide each side by '-14'. m = 5 Simplifying m = 5
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