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Simplifying -4(7f + 4) + -12f = -8(4f + -3) Reorder the terms: -4(4 + 7f) + -12f = -8(4f + -3) (4 * -4 + 7f * -4) + -12f = -8(4f + -3) (-16 + -28f) + -12f = -8(4f + -3) Combine like terms: -28f + -12f = -40f -16 + -40f = -8(4f + -3) Reorder the terms: -16 + -40f = -8(-3 + 4f) -16 + -40f = (-3 * -8 + 4f * -8) -16 + -40f = (24 + -32f) Solving -16 + -40f = 24 + -32f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '32f' to each side of the equation. -16 + -40f + 32f = 24 + -32f + 32f Combine like terms: -40f + 32f = -8f -16 + -8f = 24 + -32f + 32f Combine like terms: -32f + 32f = 0 -16 + -8f = 24 + 0 -16 + -8f = 24 Add '16' to each side of the equation. -16 + 16 + -8f = 24 + 16 Combine like terms: -16 + 16 = 0 0 + -8f = 24 + 16 -8f = 24 + 16 Combine like terms: 24 + 16 = 40 -8f = 40 Divide each side by '-8'. f = -5 Simplifying f = -5
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