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Simplifying (12f + 29) + -1(5f + -11) = -2 Reorder the terms: (29 + 12f) + -1(5f + -11) = -2 Remove parenthesis around (29 + 12f) 29 + 12f + -1(5f + -11) = -2 Reorder the terms: 29 + 12f + -1(-11 + 5f) = -2 29 + 12f + (-11 * -1 + 5f * -1) = -2 29 + 12f + (11 + -5f) = -2 Reorder the terms: 29 + 11 + 12f + -5f = -2 Combine like terms: 29 + 11 = 40 40 + 12f + -5f = -2 Combine like terms: 12f + -5f = 7f 40 + 7f = -2 Solving 40 + 7f = -2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 7f = -2 + -40 Combine like terms: 40 + -40 = 0 0 + 7f = -2 + -40 7f = -2 + -40 Combine like terms: -2 + -40 = -42 7f = -42 Divide each side by '7'. f = -6 Simplifying f = -6
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