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Simplifying 5(f + -3) = 2f + -6 Reorder the terms: 5(-3 + f) = 2f + -6 (-3 * 5 + f * 5) = 2f + -6 (-15 + 5f) = 2f + -6 Reorder the terms: -15 + 5f = -6 + 2f Solving -15 + 5f = -6 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. -15 + 5f + -2f = -6 + 2f + -2f Combine like terms: 5f + -2f = 3f -15 + 3f = -6 + 2f + -2f Combine like terms: 2f + -2f = 0 -15 + 3f = -6 + 0 -15 + 3f = -6 Add '15' to each side of the equation. -15 + 15 + 3f = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 3f = -6 + 15 3f = -6 + 15 Combine like terms: -6 + 15 = 9 3f = 9 Divide each side by '3'. f = 3 Simplifying f = 3
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