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Simplifying 8(6f + -14) + -7(12 + -5) + (23 + 65) = 0 Reorder the terms: 8(-14 + 6f) + -7(12 + -5) + (23 + 65) = 0 (-14 * 8 + 6f * 8) + -7(12 + -5) + (23 + 65) = 0 (-112 + 48f) + -7(12 + -5) + (23 + 65) = 0 Combine like terms: 12 + -5 = 7 -112 + 48f + -7(7) + (23 + 65) = 0 Multiply -7 * 7 -112 + 48f + -49 + (23 + 65) = 0 Combine like terms: 23 + 65 = 88 -112 + 48f + -49 + (88) = 0 -112 + 48f + -49 + 88 = 0 Reorder the terms: -112 + -49 + 88 + 48f = 0 Combine like terms: -112 + -49 = -161 -161 + 88 + 48f = 0 Combine like terms: -161 + 88 = -73 -73 + 48f = 0 Solving -73 + 48f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '73' to each side of the equation. -73 + 73 + 48f = 0 + 73 Combine like terms: -73 + 73 = 0 0 + 48f = 0 + 73 48f = 0 + 73 Combine like terms: 0 + 73 = 73 48f = 73 Divide each side by '48'. f = 1.520833333 Simplifying f = 1.520833333
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