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Simplifying 8(-6f + 4) + -5(12 + -5f) + (23f + -2) * 65 + f = 0 Reorder the terms: 8(4 + -6f) + -5(12 + -5f) + (23f + -2) * 65 + f = 0 (4 * 8 + -6f * 8) + -5(12 + -5f) + (23f + -2) * 65 + f = 0 (32 + -48f) + -5(12 + -5f) + (23f + -2) * 65 + f = 0 32 + -48f + (12 * -5 + -5f * -5) + (23f + -2) * 65 + f = 0 32 + -48f + (-60 + 25f) + (23f + -2) * 65 + f = 0 Reorder the terms: 32 + -48f + -60 + 25f + (-2 + 23f) * 65 + f = 0 Reorder the terms for easier multiplication: 32 + -48f + -60 + 25f + 65(-2 + 23f) + f = 0 32 + -48f + -60 + 25f + (-2 * 65 + 23f * 65) + f = 0 32 + -48f + -60 + 25f + (-130 + 1495f) + f = 0 Reorder the terms: 32 + -60 + -130 + -48f + 25f + 1495f + f = 0 Combine like terms: 32 + -60 = -28 -28 + -130 + -48f + 25f + 1495f + f = 0 Combine like terms: -28 + -130 = -158 -158 + -48f + 25f + 1495f + f = 0 Combine like terms: -48f + 25f = -23f -158 + -23f + 1495f + f = 0 Combine like terms: -23f + 1495f = 1472f -158 + 1472f + f = 0 Combine like terms: 1472f + f = 1473f -158 + 1473f = 0 Solving -158 + 1473f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '158' to each side of the equation. -158 + 158 + 1473f = 0 + 158 Combine like terms: -158 + 158 = 0 0 + 1473f = 0 + 158 1473f = 0 + 158 Combine like terms: 0 + 158 = 158 1473f = 158 Divide each side by '1473'. f = 0.1072640869 Simplifying f = 0.1072640869
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