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Simplifying -4(3f + -2) = -10f + 14 Reorder the terms: -4(-2 + 3f) = -10f + 14 (-2 * -4 + 3f * -4) = -10f + 14 (8 + -12f) = -10f + 14 Reorder the terms: 8 + -12f = 14 + -10f Solving 8 + -12f = 14 + -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 + -12f + 10f = 14 + -10f + 10f Combine like terms: -12f + 10f = -2f 8 + -2f = 14 + -10f + 10f Combine like terms: -10f + 10f = 0 8 + -2f = 14 + 0 8 + -2f = 14 Add '-8' to each side of the equation. 8 + -8 + -2f = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -2f = 14 + -8 -2f = 14 + -8 Combine like terms: 14 + -8 = 6 -2f = 6 Divide each side by '-2'. f = -3 Simplifying f = -3
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