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Simplifying 19 + 4f = 3(2f + -7) Reorder the terms: 19 + 4f = 3(-7 + 2f) 19 + 4f = (-7 * 3 + 2f * 3) 19 + 4f = (-21 + 6f) Solving 19 + 4f = -21 + 6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6f' to each side of the equation. 19 + 4f + -6f = -21 + 6f + -6f Combine like terms: 4f + -6f = -2f 19 + -2f = -21 + 6f + -6f Combine like terms: 6f + -6f = 0 19 + -2f = -21 + 0 19 + -2f = -21 Add '-19' to each side of the equation. 19 + -19 + -2f = -21 + -19 Combine like terms: 19 + -19 = 0 0 + -2f = -21 + -19 -2f = -21 + -19 Combine like terms: -21 + -19 = -40 -2f = -40 Divide each side by '-2'. f = 20 Simplifying f = 20
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