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Simplifying 4(8f + 6) + 8(-1f + 3) = 0 Reorder the terms: 4(6 + 8f) + 8(-1f + 3) = 0 (6 * 4 + 8f * 4) + 8(-1f + 3) = 0 (24 + 32f) + 8(-1f + 3) = 0 Reorder the terms: 24 + 32f + 8(3 + -1f) = 0 24 + 32f + (3 * 8 + -1f * 8) = 0 24 + 32f + (24 + -8f) = 0 Reorder the terms: 24 + 24 + 32f + -8f = 0 Combine like terms: 24 + 24 = 48 48 + 32f + -8f = 0 Combine like terms: 32f + -8f = 24f 48 + 24f = 0 Solving 48 + 24f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 24f = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 24f = 0 + -48 24f = 0 + -48 Combine like terms: 0 + -48 = -48 24f = -48 Divide each side by '24'. f = -2 Simplifying f = -2
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