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Simplifying 8(f + -2) + 4 + -2f = 3f + 36 Reorder the terms: 8(-2 + f) + 4 + -2f = 3f + 36 (-2 * 8 + f * 8) + 4 + -2f = 3f + 36 (-16 + 8f) + 4 + -2f = 3f + 36 Reorder the terms: -16 + 4 + 8f + -2f = 3f + 36 Combine like terms: -16 + 4 = -12 -12 + 8f + -2f = 3f + 36 Combine like terms: 8f + -2f = 6f -12 + 6f = 3f + 36 Reorder the terms: -12 + 6f = 36 + 3f Solving -12 + 6f = 36 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. -12 + 6f + -3f = 36 + 3f + -3f Combine like terms: 6f + -3f = 3f -12 + 3f = 36 + 3f + -3f Combine like terms: 3f + -3f = 0 -12 + 3f = 36 + 0 -12 + 3f = 36 Add '12' to each side of the equation. -12 + 12 + 3f = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 3f = 36 + 12 3f = 36 + 12 Combine like terms: 36 + 12 = 48 3f = 48 Divide each side by '3'. f = 16 Simplifying f = 16
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