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Simplifying 8(4f + -1) + -12f = 11(2f + -6) Reorder the terms: 8(-1 + 4f) + -12f = 11(2f + -6) (-1 * 8 + 4f * 8) + -12f = 11(2f + -6) (-8 + 32f) + -12f = 11(2f + -6) Combine like terms: 32f + -12f = 20f -8 + 20f = 11(2f + -6) Reorder the terms: -8 + 20f = 11(-6 + 2f) -8 + 20f = (-6 * 11 + 2f * 11) -8 + 20f = (-66 + 22f) Solving -8 + 20f = -66 + 22f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-22f' to each side of the equation. -8 + 20f + -22f = -66 + 22f + -22f Combine like terms: 20f + -22f = -2f -8 + -2f = -66 + 22f + -22f Combine like terms: 22f + -22f = 0 -8 + -2f = -66 + 0 -8 + -2f = -66 Add '8' to each side of the equation. -8 + 8 + -2f = -66 + 8 Combine like terms: -8 + 8 = 0 0 + -2f = -66 + 8 -2f = -66 + 8 Combine like terms: -66 + 8 = -58 -2f = -58 Divide each side by '-2'. f = 29 Simplifying f = 29
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