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Simplifying -12f + 1 = -7 + 17 + -4f Reorder the terms: 1 + -12f = -7 + 17 + -4f Combine like terms: -7 + 17 = 10 1 + -12f = 10 + -4f Solving 1 + -12f = 10 + -4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '4f' to each side of the equation. 1 + -12f + 4f = 10 + -4f + 4f Combine like terms: -12f + 4f = -8f 1 + -8f = 10 + -4f + 4f Combine like terms: -4f + 4f = 0 1 + -8f = 10 + 0 1 + -8f = 10 Add '-1' to each side of the equation. 1 + -1 + -8f = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -8f = 10 + -1 -8f = 10 + -1 Combine like terms: 10 + -1 = 9 -8f = 9 Divide each side by '-8'. f = -1.125 Simplifying f = -1.125
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