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Simplifying 2f + -5 = 3f + -12 Reorder the terms: -5 + 2f = 3f + -12 Reorder the terms: -5 + 2f = -12 + 3f Solving -5 + 2f = -12 + 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. -5 + 2f + -3f = -12 + 3f + -3f Combine like terms: 2f + -3f = -1f -5 + -1f = -12 + 3f + -3f Combine like terms: 3f + -3f = 0 -5 + -1f = -12 + 0 -5 + -1f = -12 Add '5' to each side of the equation. -5 + 5 + -1f = -12 + 5 Combine like terms: -5 + 5 = 0 0 + -1f = -12 + 5 -1f = -12 + 5 Combine like terms: -12 + 5 = -7 -1f = -7 Divide each side by '-1'. f = 7 Simplifying f = 7
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