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Simplifying 3(6f + -2) + 8(10f + -5) = 0 Reorder the terms: 3(-2 + 6f) + 8(10f + -5) = 0 (-2 * 3 + 6f * 3) + 8(10f + -5) = 0 (-6 + 18f) + 8(10f + -5) = 0 Reorder the terms: -6 + 18f + 8(-5 + 10f) = 0 -6 + 18f + (-5 * 8 + 10f * 8) = 0 -6 + 18f + (-40 + 80f) = 0 Reorder the terms: -6 + -40 + 18f + 80f = 0 Combine like terms: -6 + -40 = -46 -46 + 18f + 80f = 0 Combine like terms: 18f + 80f = 98f -46 + 98f = 0 Solving -46 + 98f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 98f = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 98f = 0 + 46 98f = 0 + 46 Combine like terms: 0 + 46 = 46 98f = 46 Divide each side by '98'. f = 0.4693877551 Simplifying f = 0.4693877551
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