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Simplifying -34 = -3 + 5(f + 6) Reorder the terms: -34 = -3 + 5(6 + f) -34 = -3 + (6 * 5 + f * 5) -34 = -3 + (30 + 5f) Combine like terms: -3 + 30 = 27 -34 = 27 + 5f Solving -34 = 27 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. -34 + -5f = 27 + 5f + -5f Combine like terms: 5f + -5f = 0 -34 + -5f = 27 + 0 -34 + -5f = 27 Add '34' to each side of the equation. -34 + 34 + -5f = 27 + 34 Combine like terms: -34 + 34 = 0 0 + -5f = 27 + 34 -5f = 27 + 34 Combine like terms: 27 + 34 = 61 -5f = 61 Divide each side by '-5'. f = -12.2 Simplifying f = -12.2
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