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Simplifying 7(2 + -1f) + -3(f + -4) = 10f + -4 (2 * 7 + -1f * 7) + -3(f + -4) = 10f + -4 (14 + -7f) + -3(f + -4) = 10f + -4 Reorder the terms: 14 + -7f + -3(-4 + f) = 10f + -4 14 + -7f + (-4 * -3 + f * -3) = 10f + -4 14 + -7f + (12 + -3f) = 10f + -4 Reorder the terms: 14 + 12 + -7f + -3f = 10f + -4 Combine like terms: 14 + 12 = 26 26 + -7f + -3f = 10f + -4 Combine like terms: -7f + -3f = -10f 26 + -10f = 10f + -4 Reorder the terms: 26 + -10f = -4 + 10f Solving 26 + -10f = -4 + 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. 26 + -10f + -10f = -4 + 10f + -10f Combine like terms: -10f + -10f = -20f 26 + -20f = -4 + 10f + -10f Combine like terms: 10f + -10f = 0 26 + -20f = -4 + 0 26 + -20f = -4 Add '-26' to each side of the equation. 26 + -26 + -20f = -4 + -26 Combine like terms: 26 + -26 = 0 0 + -20f = -4 + -26 -20f = -4 + -26 Combine like terms: -4 + -26 = -30 -20f = -30 Divide each side by '-20'. f = 1.5 Simplifying f = 1.5
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