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Simplifying -7f + -12 = -4f + 17 + 11f + -15 Reorder the terms: -12 + -7f = -4f + 17 + 11f + -15 Reorder the terms: -12 + -7f = 17 + -15 + -4f + 11f Combine like terms: 17 + -15 = 2 -12 + -7f = 2 + -4f + 11f Combine like terms: -4f + 11f = 7f -12 + -7f = 2 + 7f Solving -12 + -7f = 2 + 7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7f' to each side of the equation. -12 + -7f + -7f = 2 + 7f + -7f Combine like terms: -7f + -7f = -14f -12 + -14f = 2 + 7f + -7f Combine like terms: 7f + -7f = 0 -12 + -14f = 2 + 0 -12 + -14f = 2 Add '12' to each side of the equation. -12 + 12 + -14f = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -14f = 2 + 12 -14f = 2 + 12 Combine like terms: 2 + 12 = 14 -14f = 14 Divide each side by '-14'. f = -1 Simplifying f = -1
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