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Simplifying 2(3f + -1) = 3(f + -5) Reorder the terms: 2(-1 + 3f) = 3(f + -5) (-1 * 2 + 3f * 2) = 3(f + -5) (-2 + 6f) = 3(f + -5) Reorder the terms: -2 + 6f = 3(-5 + f) -2 + 6f = (-5 * 3 + f * 3) -2 + 6f = (-15 + 3f) Solving -2 + 6f = -15 + 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. -2 + 6f + -3f = -15 + 3f + -3f Combine like terms: 6f + -3f = 3f -2 + 3f = -15 + 3f + -3f Combine like terms: 3f + -3f = 0 -2 + 3f = -15 + 0 -2 + 3f = -15 Add '2' to each side of the equation. -2 + 2 + 3f = -15 + 2 Combine like terms: -2 + 2 = 0 0 + 3f = -15 + 2 3f = -15 + 2 Combine like terms: -15 + 2 = -13 3f = -13 Divide each side by '3'. f = -4.333333333 Simplifying f = -4.333333333
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