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Simplifying 5 = -7(f + 6) Reorder the terms: 5 = -7(6 + f) 5 = (6 * -7 + f * -7) 5 = (-42 + -7f) Solving 5 = -42 + -7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '7f' to each side of the equation. 5 + 7f = -42 + -7f + 7f Combine like terms: -7f + 7f = 0 5 + 7f = -42 + 0 5 + 7f = -42 Add '-5' to each side of the equation. 5 + -5 + 7f = -42 + -5 Combine like terms: 5 + -5 = 0 0 + 7f = -42 + -5 7f = -42 + -5 Combine like terms: -42 + -5 = -47 7f = -47 Divide each side by '7'. f = -6.714285714 Simplifying f = -6.714285714
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