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Simplifying 6 + 5f + 11r + -7 + 3f + 5(x + 3) = 0 Reorder the terms: 6 + 5f + 11r + -7 + 3f + 5(3 + x) = 0 6 + 5f + 11r + -7 + 3f + (3 * 5 + x * 5) = 0 6 + 5f + 11r + -7 + 3f + (15 + 5x) = 0 Reorder the terms: 6 + -7 + 15 + 5f + 3f + 11r + 5x = 0 Combine like terms: 6 + -7 = -1 -1 + 15 + 5f + 3f + 11r + 5x = 0 Combine like terms: -1 + 15 = 14 14 + 5f + 3f + 11r + 5x = 0 Combine like terms: 5f + 3f = 8f 14 + 8f + 11r + 5x = 0 Solving 14 + 8f + 11r + 5x = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 8f + 11r + -14 + 5x = 0 + -14 Reorder the terms: 14 + -14 + 8f + 11r + 5x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 8f + 11r + 5x = 0 + -14 8f + 11r + 5x = 0 + -14 Combine like terms: 0 + -14 = -14 8f + 11r + 5x = -14 Add '-11r' to each side of the equation. 8f + 11r + -11r + 5x = -14 + -11r Combine like terms: 11r + -11r = 0 8f + 0 + 5x = -14 + -11r 8f + 5x = -14 + -11r Add '-5x' to each side of the equation. 8f + 5x + -5x = -14 + -11r + -5x Combine like terms: 5x + -5x = 0 8f + 0 = -14 + -11r + -5x 8f = -14 + -11r + -5x Divide each side by '8'. f = -1.75 + -1.375r + -0.625x Simplifying f = -1.75 + -1.375r + -0.625x
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