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Simplifying 3 + 14f = 6 + -9(-3f + -17) Reorder the terms: 3 + 14f = 6 + -9(-17 + -3f) 3 + 14f = 6 + (-17 * -9 + -3f * -9) 3 + 14f = 6 + (153 + 27f) Combine like terms: 6 + 153 = 159 3 + 14f = 159 + 27f Solving 3 + 14f = 159 + 27f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-27f' to each side of the equation. 3 + 14f + -27f = 159 + 27f + -27f Combine like terms: 14f + -27f = -13f 3 + -13f = 159 + 27f + -27f Combine like terms: 27f + -27f = 0 3 + -13f = 159 + 0 3 + -13f = 159 Add '-3' to each side of the equation. 3 + -3 + -13f = 159 + -3 Combine like terms: 3 + -3 = 0 0 + -13f = 159 + -3 -13f = 159 + -3 Combine like terms: 159 + -3 = 156 -13f = 156 Divide each side by '-13'. f = -12 Simplifying f = -12
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