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Simplifying 0.33(6f + -12) = 4(0.5f + 1) * 2 Reorder the terms: 0.33(-12 + 6f) = 4(0.5f + 1) * 2 (-12 * 0.33 + 6f * 0.33) = 4(0.5f + 1) * 2 (-3.96 + 1.98f) = 4(0.5f + 1) * 2 Reorder the terms: -3.96 + 1.98f = 4(1 + 0.5f) * 2 Reorder the terms for easier multiplication: -3.96 + 1.98f = 4 * 2(1 + 0.5f) Multiply 4 * 2 -3.96 + 1.98f = 8(1 + 0.5f) -3.96 + 1.98f = (1 * 8 + 0.5f * 8) -3.96 + 1.98f = (8 + 4f) Solving -3.96 + 1.98f = 8 + 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. -3.96 + 1.98f + -4f = 8 + 4f + -4f Combine like terms: 1.98f + -4f = -2.02f -3.96 + -2.02f = 8 + 4f + -4f Combine like terms: 4f + -4f = 0 -3.96 + -2.02f = 8 + 0 -3.96 + -2.02f = 8 Add '3.96' to each side of the equation. -3.96 + 3.96 + -2.02f = 8 + 3.96 Combine like terms: -3.96 + 3.96 = 0.00 0.00 + -2.02f = 8 + 3.96 -2.02f = 8 + 3.96 Combine like terms: 8 + 3.96 = 11.96 -2.02f = 11.96 Divide each side by '-2.02'. f = -5.920792079 Simplifying f = -5.920792079
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