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Simplifying (3f + 7) + -1(19 + f) = 0 Reorder the terms: (7 + 3f) + -1(19 + f) = 0 Remove parenthesis around (7 + 3f) 7 + 3f + -1(19 + f) = 0 7 + 3f + (19 * -1 + f * -1) = 0 7 + 3f + (-19 + -1f) = 0 Reorder the terms: 7 + -19 + 3f + -1f = 0 Combine like terms: 7 + -19 = -12 -12 + 3f + -1f = 0 Combine like terms: 3f + -1f = 2f -12 + 2f = 0 Solving -12 + 2f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2f = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2f = 0 + 12 2f = 0 + 12 Combine like terms: 0 + 12 = 12 2f = 12 Divide each side by '2'. f = 6 Simplifying f = 6
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