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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 Remove parenthesis around (-2 + 23f) 32 + -48f + -60 + 25f + -2 + 23f + -65 + f = 0 Reorder the terms: 32 + -60 + -2 + -65 + -48f + 25f + 23f + f = 0 Combine like terms: 32 + -60 = -28 -28 + -2 + -65 + -48f + 25f + 23f + f = 0 Combine like terms: -28 + -2 = -30 -30 + -65 + -48f + 25f + 23f + f = 0 Combine like terms: -30 + -65 = -95 -95 + -48f + 25f + 23f + f = 0 Combine like terms: -48f + 25f = -23f -95 + -23f + 23f + f = 0 Combine like terms: -23f + 23f = 0 -95 + 0 + f = 0 -95 + f = 0 Solving -95 + f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '95' to each side of the equation. -95 + 95 + f = 0 + 95 Combine like terms: -95 + 95 = 0 0 + f = 0 + 95 f = 0 + 95 Combine like terms: 0 + 95 = 95 f = 95 Simplifying f = 95
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