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Simplifying 2(4f + -1) = 10f + -16 Reorder the terms: 2(-1 + 4f) = 10f + -16 (-1 * 2 + 4f * 2) = 10f + -16 (-2 + 8f) = 10f + -16 Reorder the terms: -2 + 8f = -16 + 10f Solving -2 + 8f = -16 + 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. -2 + 8f + -10f = -16 + 10f + -10f Combine like terms: 8f + -10f = -2f -2 + -2f = -16 + 10f + -10f Combine like terms: 10f + -10f = 0 -2 + -2f = -16 + 0 -2 + -2f = -16 Add '2' to each side of the equation. -2 + 2 + -2f = -16 + 2 Combine like terms: -2 + 2 = 0 0 + -2f = -16 + 2 -2f = -16 + 2 Combine like terms: -16 + 2 = -14 -2f = -14 Divide each side by '-2'. f = 7 Simplifying f = 7
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