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Simplifying 10 = -4(f + 6) + 14 Reorder the terms: 10 = -4(6 + f) + 14 10 = (6 * -4 + f * -4) + 14 10 = (-24 + -4f) + 14 Reorder the terms: 10 = -24 + 14 + -4f Combine like terms: -24 + 14 = -10 10 = -10 + -4f Solving 10 = -10 + -4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '4f' to each side of the equation. 10 + 4f = -10 + -4f + 4f Combine like terms: -4f + 4f = 0 10 + 4f = -10 + 0 10 + 4f = -10 Add '-10' to each side of the equation. 10 + -10 + 4f = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 4f = -10 + -10 4f = -10 + -10 Combine like terms: -10 + -10 = -20 4f = -20 Divide each side by '4'. f = -5 Simplifying f = -5
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