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Simplifying 0.50(6f + -4) = 4f + -9 Reorder the terms: 0.50(-4 + 6f) = 4f + -9 (-4 * 0.50 + 6f * 0.50) = 4f + -9 (-2 + 3f) = 4f + -9 Reorder the terms: -2 + 3f = -9 + 4f Solving -2 + 3f = -9 + 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. -2 + 3f + -4f = -9 + 4f + -4f Combine like terms: 3f + -4f = -1f -2 + -1f = -9 + 4f + -4f Combine like terms: 4f + -4f = 0 -2 + -1f = -9 + 0 -2 + -1f = -9 Add '2' to each side of the equation. -2 + 2 + -1f = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -1f = -9 + 2 -1f = -9 + 2 Combine like terms: -9 + 2 = -7 -1f = -7 Divide each side by '-1'. f = 7 Simplifying f = 7
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