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Simplifying -5(-7 + 20) + -19 = 7(7f + 9) Combine like terms: -7 + 20 = 13 -5(13) + -19 = 7(7f + 9) Multiply -5 * 13 -65 + -19 = 7(7f + 9) Combine like terms: -65 + -19 = -84 -84 = 7(7f + 9) Reorder the terms: -84 = 7(9 + 7f) -84 = (9 * 7 + 7f * 7) -84 = (63 + 49f) Solving -84 = 63 + 49f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-49f' to each side of the equation. -84 + -49f = 63 + 49f + -49f Combine like terms: 49f + -49f = 0 -84 + -49f = 63 + 0 -84 + -49f = 63 Add '84' to each side of the equation. -84 + 84 + -49f = 63 + 84 Combine like terms: -84 + 84 = 0 0 + -49f = 63 + 84 -49f = 63 + 84 Combine like terms: 63 + 84 = 147 -49f = 147 Divide each side by '-49'. f = -3 Simplifying f = -3
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