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Simplifying 4f + 6(4f + -3) = 4(8f + 4) + -4 Reorder the terms: 4f + 6(-3 + 4f) = 4(8f + 4) + -4 4f + (-3 * 6 + 4f * 6) = 4(8f + 4) + -4 4f + (-18 + 24f) = 4(8f + 4) + -4 Reorder the terms: -18 + 4f + 24f = 4(8f + 4) + -4 Combine like terms: 4f + 24f = 28f -18 + 28f = 4(8f + 4) + -4 Reorder the terms: -18 + 28f = 4(4 + 8f) + -4 -18 + 28f = (4 * 4 + 8f * 4) + -4 -18 + 28f = (16 + 32f) + -4 Reorder the terms: -18 + 28f = 16 + -4 + 32f Combine like terms: 16 + -4 = 12 -18 + 28f = 12 + 32f Solving -18 + 28f = 12 + 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. -18 + 28f + -32f = 12 + 32f + -32f Combine like terms: 28f + -32f = -4f -18 + -4f = 12 + 32f + -32f Combine like terms: 32f + -32f = 0 -18 + -4f = 12 + 0 -18 + -4f = 12 Add '18' to each side of the equation. -18 + 18 + -4f = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -4f = 12 + 18 -4f = 12 + 18 Combine like terms: 12 + 18 = 30 -4f = 30 Divide each side by '-4'. f = -7.5 Simplifying f = -7.5
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