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Simplifying 15 = 5 + 6(f + -7) Reorder the terms: 15 = 5 + 6(-7 + f) 15 = 5 + (-7 * 6 + f * 6) 15 = 5 + (-42 + 6f) Combine like terms: 5 + -42 = -37 15 = -37 + 6f Solving 15 = -37 + 6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6f' to each side of the equation. 15 + -6f = -37 + 6f + -6f Combine like terms: 6f + -6f = 0 15 + -6f = -37 + 0 15 + -6f = -37 Add '-15' to each side of the equation. 15 + -15 + -6f = -37 + -15 Combine like terms: 15 + -15 = 0 0 + -6f = -37 + -15 -6f = -37 + -15 Combine like terms: -37 + -15 = -52 -6f = -52 Divide each side by '-6'. f = 8.666666667 Simplifying f = 8.666666667
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