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Simplifying 8(6f + -14) + -7(12 + -5f) + (23f + 2) + -1(2f + 65) = 0 Reorder the terms: 8(-14 + 6f) + -7(12 + -5f) + (23f + 2) + -1(2f + 65) = 0 (-14 * 8 + 6f * 8) + -7(12 + -5f) + (23f + 2) + -1(2f + 65) = 0 (-112 + 48f) + -7(12 + -5f) + (23f + 2) + -1(2f + 65) = 0 -112 + 48f + (12 * -7 + -5f * -7) + (23f + 2) + -1(2f + 65) = 0 -112 + 48f + (-84 + 35f) + (23f + 2) + -1(2f + 65) = 0 Reorder the terms: -112 + 48f + -84 + 35f + (2 + 23f) + -1(2f + 65) = 0 Remove parenthesis around (2 + 23f) -112 + 48f + -84 + 35f + 2 + 23f + -1(2f + 65) = 0 Reorder the terms: -112 + 48f + -84 + 35f + 2 + 23f + -1(65 + 2f) = 0 -112 + 48f + -84 + 35f + 2 + 23f + (65 * -1 + 2f * -1) = 0 -112 + 48f + -84 + 35f + 2 + 23f + (-65 + -2f) = 0 Reorder the terms: -112 + -84 + 2 + -65 + 48f + 35f + 23f + -2f = 0 Combine like terms: -112 + -84 = -196 -196 + 2 + -65 + 48f + 35f + 23f + -2f = 0 Combine like terms: -196 + 2 = -194 -194 + -65 + 48f + 35f + 23f + -2f = 0 Combine like terms: -194 + -65 = -259 -259 + 48f + 35f + 23f + -2f = 0 Combine like terms: 48f + 35f = 83f -259 + 83f + 23f + -2f = 0 Combine like terms: 83f + 23f = 106f -259 + 106f + -2f = 0 Combine like terms: 106f + -2f = 104f -259 + 104f = 0 Solving -259 + 104f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '259' to each side of the equation. -259 + 259 + 104f = 0 + 259 Combine like terms: -259 + 259 = 0 0 + 104f = 0 + 259 104f = 0 + 259 Combine like terms: 0 + 259 = 259 104f = 259 Divide each side by '104'. f = 2.490384615 Simplifying f = 2.490384615
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