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Simplifying 2(f + -4) = 5(2f + 1) Reorder the terms: 2(-4 + f) = 5(2f + 1) (-4 * 2 + f * 2) = 5(2f + 1) (-8 + 2f) = 5(2f + 1) Reorder the terms: -8 + 2f = 5(1 + 2f) -8 + 2f = (1 * 5 + 2f * 5) -8 + 2f = (5 + 10f) Solving -8 + 2f = 5 + 10f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-10f' to each side of the equation. -8 + 2f + -10f = 5 + 10f + -10f Combine like terms: 2f + -10f = -8f -8 + -8f = 5 + 10f + -10f Combine like terms: 10f + -10f = 0 -8 + -8f = 5 + 0 -8 + -8f = 5 Add '8' to each side of the equation. -8 + 8 + -8f = 5 + 8 Combine like terms: -8 + 8 = 0 0 + -8f = 5 + 8 -8f = 5 + 8 Combine like terms: 5 + 8 = 13 -8f = 13 Divide each side by '-8'. f = -1.625 Simplifying f = -1.625
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