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Simplifying 5(7f + -3) = 28(f + -1) Reorder the terms: 5(-3 + 7f) = 28(f + -1) (-3 * 5 + 7f * 5) = 28(f + -1) (-15 + 35f) = 28(f + -1) Reorder the terms: -15 + 35f = 28(-1 + f) -15 + 35f = (-1 * 28 + f * 28) -15 + 35f = (-28 + 28f) Solving -15 + 35f = -28 + 28f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-28f' to each side of the equation. -15 + 35f + -28f = -28 + 28f + -28f Combine like terms: 35f + -28f = 7f -15 + 7f = -28 + 28f + -28f Combine like terms: 28f + -28f = 0 -15 + 7f = -28 + 0 -15 + 7f = -28 Add '15' to each side of the equation. -15 + 15 + 7f = -28 + 15 Combine like terms: -15 + 15 = 0 0 + 7f = -28 + 15 7f = -28 + 15 Combine like terms: -28 + 15 = -13 7f = -13 Divide each side by '7'. f = -1.857142857 Simplifying f = -1.857142857
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