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