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Simplifying 2(3f + -5) = 3f + -13 Reorder the terms: 2(-5 + 3f) = 3f + -13 (-5 * 2 + 3f * 2) = 3f + -13 (-10 + 6f) = 3f + -13 Reorder the terms: -10 + 6f = -13 + 3f Solving -10 + 6f = -13 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. -10 + 6f + -3f = -13 + 3f + -3f Combine like terms: 6f + -3f = 3f -10 + 3f = -13 + 3f + -3f Combine like terms: 3f + -3f = 0 -10 + 3f = -13 + 0 -10 + 3f = -13 Add '10' to each side of the equation. -10 + 10 + 3f = -13 + 10 Combine like terms: -10 + 10 = 0 0 + 3f = -13 + 10 3f = -13 + 10 Combine like terms: -13 + 10 = -3 3f = -3 Divide each side by '3'. f = -1 Simplifying f = -1
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