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Simplifying -3(-13f + 16) + -8 = -7(-4f + -14) Reorder the terms: -3(16 + -13f) + -8 = -7(-4f + -14) (16 * -3 + -13f * -3) + -8 = -7(-4f + -14) (-48 + 39f) + -8 = -7(-4f + -14) Reorder the terms: -48 + -8 + 39f = -7(-4f + -14) Combine like terms: -48 + -8 = -56 -56 + 39f = -7(-4f + -14) Reorder the terms: -56 + 39f = -7(-14 + -4f) -56 + 39f = (-14 * -7 + -4f * -7) -56 + 39f = (98 + 28f) Solving -56 + 39f = 98 + 28f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-28f' to each side of the equation. -56 + 39f + -28f = 98 + 28f + -28f Combine like terms: 39f + -28f = 11f -56 + 11f = 98 + 28f + -28f Combine like terms: 28f + -28f = 0 -56 + 11f = 98 + 0 -56 + 11f = 98 Add '56' to each side of the equation. -56 + 56 + 11f = 98 + 56 Combine like terms: -56 + 56 = 0 0 + 11f = 98 + 56 11f = 98 + 56 Combine like terms: 98 + 56 = 154 11f = 154 Divide each side by '11'. f = 14 Simplifying f = 14
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