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Simplifying 14(m + -12) = 16 + 10(3m + -4) Reorder the terms: 14(-12 + m) = 16 + 10(3m + -4) (-12 * 14 + m * 14) = 16 + 10(3m + -4) (-168 + 14m) = 16 + 10(3m + -4) Reorder the terms: -168 + 14m = 16 + 10(-4 + 3m) -168 + 14m = 16 + (-4 * 10 + 3m * 10) -168 + 14m = 16 + (-40 + 30m) Combine like terms: 16 + -40 = -24 -168 + 14m = -24 + 30m Solving -168 + 14m = -24 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. -168 + 14m + -30m = -24 + 30m + -30m Combine like terms: 14m + -30m = -16m -168 + -16m = -24 + 30m + -30m Combine like terms: 30m + -30m = 0 -168 + -16m = -24 + 0 -168 + -16m = -24 Add '168' to each side of the equation. -168 + 168 + -16m = -24 + 168 Combine like terms: -168 + 168 = 0 0 + -16m = -24 + 168 -16m = -24 + 168 Combine like terms: -24 + 168 = 144 -16m = 144 Divide each side by '-16'. m = -9 Simplifying m = -9
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