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Simplifying 15(f + -8) = 8f + -78 Reorder the terms: 15(-8 + f) = 8f + -78 (-8 * 15 + f * 15) = 8f + -78 (-120 + 15f) = 8f + -78 Reorder the terms: -120 + 15f = -78 + 8f Solving -120 + 15f = -78 + 8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. -120 + 15f + -8f = -78 + 8f + -8f Combine like terms: 15f + -8f = 7f -120 + 7f = -78 + 8f + -8f Combine like terms: 8f + -8f = 0 -120 + 7f = -78 + 0 -120 + 7f = -78 Add '120' to each side of the equation. -120 + 120 + 7f = -78 + 120 Combine like terms: -120 + 120 = 0 0 + 7f = -78 + 120 7f = -78 + 120 Combine like terms: -78 + 120 = 42 7f = 42 Divide each side by '7'. f = 6 Simplifying f = 6
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