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Simplifying -8(-11f + -12) = 1 + -5(-19f + -12) Reorder the terms: -8(-12 + -11f) = 1 + -5(-19f + -12) (-12 * -8 + -11f * -8) = 1 + -5(-19f + -12) (96 + 88f) = 1 + -5(-19f + -12) Reorder the terms: 96 + 88f = 1 + -5(-12 + -19f) 96 + 88f = 1 + (-12 * -5 + -19f * -5) 96 + 88f = 1 + (60 + 95f) Combine like terms: 1 + 60 = 61 96 + 88f = 61 + 95f Solving 96 + 88f = 61 + 95f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-95f' to each side of the equation. 96 + 88f + -95f = 61 + 95f + -95f Combine like terms: 88f + -95f = -7f 96 + -7f = 61 + 95f + -95f Combine like terms: 95f + -95f = 0 96 + -7f = 61 + 0 96 + -7f = 61 Add '-96' to each side of the equation. 96 + -96 + -7f = 61 + -96 Combine like terms: 96 + -96 = 0 0 + -7f = 61 + -96 -7f = 61 + -96 Combine like terms: 61 + -96 = -35 -7f = -35 Divide each side by '-7'. f = 5 Simplifying f = 5
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