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Simplifying 4(7f + -14) = -5(-4f + 16) Reorder the terms: 4(-14 + 7f) = -5(-4f + 16) (-14 * 4 + 7f * 4) = -5(-4f + 16) (-56 + 28f) = -5(-4f + 16) Reorder the terms: -56 + 28f = -5(16 + -4f) -56 + 28f = (16 * -5 + -4f * -5) -56 + 28f = (-80 + 20f) Solving -56 + 28f = -80 + 20f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-20f' to each side of the equation. -56 + 28f + -20f = -80 + 20f + -20f Combine like terms: 28f + -20f = 8f -56 + 8f = -80 + 20f + -20f Combine like terms: 20f + -20f = 0 -56 + 8f = -80 + 0 -56 + 8f = -80 Add '56' to each side of the equation. -56 + 56 + 8f = -80 + 56 Combine like terms: -56 + 56 = 0 0 + 8f = -80 + 56 8f = -80 + 56 Combine like terms: -80 + 56 = -24 8f = -24 Divide each side by '8'. f = -3 Simplifying f = -3
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