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Simplifying 14m + -2 = 2(8m + -5) Reorder the terms: -2 + 14m = 2(8m + -5) Reorder the terms: -2 + 14m = 2(-5 + 8m) -2 + 14m = (-5 * 2 + 8m * 2) -2 + 14m = (-10 + 16m) Solving -2 + 14m = -10 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. -2 + 14m + -16m = -10 + 16m + -16m Combine like terms: 14m + -16m = -2m -2 + -2m = -10 + 16m + -16m Combine like terms: 16m + -16m = 0 -2 + -2m = -10 + 0 -2 + -2m = -10 Add '2' to each side of the equation. -2 + 2 + -2m = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -2m = -10 + 2 -2m = -10 + 2 Combine like terms: -10 + 2 = -8 -2m = -8 Divide each side by '-2'. m = 4 Simplifying m = 4
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