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Simplifying 8(2f + -2) = 3(3w + 5) Reorder the terms: 8(-2 + 2f) = 3(3w + 5) (-2 * 8 + 2f * 8) = 3(3w + 5) (-16 + 16f) = 3(3w + 5) Reorder the terms: -16 + 16f = 3(5 + 3w) -16 + 16f = (5 * 3 + 3w * 3) -16 + 16f = (15 + 9w) Solving -16 + 16f = 15 + 9w Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 16f = 15 + 16 + 9w Combine like terms: -16 + 16 = 0 0 + 16f = 15 + 16 + 9w 16f = 15 + 16 + 9w Combine like terms: 15 + 16 = 31 16f = 31 + 9w Divide each side by '16'. f = 1.9375 + 0.5625w Simplifying f = 1.9375 + 0.5625w
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