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Simplifying 14 + -6(3m + 7) = -2m + -16 Reorder the terms: 14 + -6(7 + 3m) = -2m + -16 14 + (7 * -6 + 3m * -6) = -2m + -16 14 + (-42 + -18m) = -2m + -16 Combine like terms: 14 + -42 = -28 -28 + -18m = -2m + -16 Reorder the terms: -28 + -18m = -16 + -2m Solving -28 + -18m = -16 + -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. -28 + -18m + 2m = -16 + -2m + 2m Combine like terms: -18m + 2m = -16m -28 + -16m = -16 + -2m + 2m Combine like terms: -2m + 2m = 0 -28 + -16m = -16 + 0 -28 + -16m = -16 Add '28' to each side of the equation. -28 + 28 + -16m = -16 + 28 Combine like terms: -28 + 28 = 0 0 + -16m = -16 + 28 -16m = -16 + 28 Combine like terms: -16 + 28 = 12 -16m = 12 Divide each side by '-16'. m = -0.75 Simplifying m = -0.75
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