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Simplifying 5(3f + 1) + -3(2f + -7) = 80 Reorder the terms: 5(1 + 3f) + -3(2f + -7) = 80 (1 * 5 + 3f * 5) + -3(2f + -7) = 80 (5 + 15f) + -3(2f + -7) = 80 Reorder the terms: 5 + 15f + -3(-7 + 2f) = 80 5 + 15f + (-7 * -3 + 2f * -3) = 80 5 + 15f + (21 + -6f) = 80 Reorder the terms: 5 + 21 + 15f + -6f = 80 Combine like terms: 5 + 21 = 26 26 + 15f + -6f = 80 Combine like terms: 15f + -6f = 9f 26 + 9f = 80 Solving 26 + 9f = 80 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 9f = 80 + -26 Combine like terms: 26 + -26 = 0 0 + 9f = 80 + -26 9f = 80 + -26 Combine like terms: 80 + -26 = 54 9f = 54 Divide each side by '9'. f = 6 Simplifying f = 6
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