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Simplifying 6(f + -5) = f + 10 Reorder the terms: 6(-5 + f) = f + 10 (-5 * 6 + f * 6) = f + 10 (-30 + 6f) = f + 10 Reorder the terms: -30 + 6f = 10 + f Solving -30 + 6f = 10 + f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1f' to each side of the equation. -30 + 6f + -1f = 10 + f + -1f Combine like terms: 6f + -1f = 5f -30 + 5f = 10 + f + -1f Combine like terms: f + -1f = 0 -30 + 5f = 10 + 0 -30 + 5f = 10 Add '30' to each side of the equation. -30 + 30 + 5f = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 5f = 10 + 30 5f = 10 + 30 Combine like terms: 10 + 30 = 40 5f = 40 Divide each side by '5'. f = 8 Simplifying f = 8
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