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Simplifying 4(5 + 4) + -10 = 2(9 + f) + -6 Combine like terms: 5 + 4 = 9 4(9) + -10 = 2(9 + f) + -6 Multiply 4 * 9 36 + -10 = 2(9 + f) + -6 Combine like terms: 36 + -10 = 26 26 = 2(9 + f) + -6 26 = (9 * 2 + f * 2) + -6 26 = (18 + 2f) + -6 Reorder the terms: 26 = 18 + -6 + 2f Combine like terms: 18 + -6 = 12 26 = 12 + 2f Solving 26 = 12 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. 26 + -2f = 12 + 2f + -2f Combine like terms: 2f + -2f = 0 26 + -2f = 12 + 0 26 + -2f = 12 Add '-26' to each side of the equation. 26 + -26 + -2f = 12 + -26 Combine like terms: 26 + -26 = 0 0 + -2f = 12 + -26 -2f = 12 + -26 Combine like terms: 12 + -26 = -14 -2f = -14 Divide each side by '-2'. f = 7 Simplifying f = 7
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