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Simplifying 20f + (-8g + -15) = 3(4f + -5) Reorder the terms: 20f + (-15 + -8g) = 3(4f + -5) Remove parenthesis around (-15 + -8g) 20f + -15 + -8g = 3(4f + -5) Reorder the terms: -15 + 20f + -8g = 3(4f + -5) Reorder the terms: -15 + 20f + -8g = 3(-5 + 4f) -15 + 20f + -8g = (-5 * 3 + 4f * 3) -15 + 20f + -8g = (-15 + 12f) Add '15' to each side of the equation. -15 + 20f + 15 + -8g = -15 + 15 + 12f Reorder the terms: -15 + 15 + 20f + -8g = -15 + 15 + 12f Combine like terms: -15 + 15 = 0 0 + 20f + -8g = -15 + 15 + 12f 20f + -8g = -15 + 15 + 12f Combine like terms: -15 + 15 = 0 20f + -8g = 0 + 12f 20f + -8g = 12f Solving 20f + -8g = 12f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12f' to each side of the equation. 20f + -12f + -8g = 12f + -12f Combine like terms: 20f + -12f = 8f 8f + -8g = 12f + -12f Combine like terms: 12f + -12f = 0 8f + -8g = 0 Add '8g' to each side of the equation. 8f + -8g + 8g = 0 + 8g Combine like terms: -8g + 8g = 0 8f + 0 = 0 + 8g 8f = 0 + 8g Remove the zero: 8f = 8g Divide each side by '8'. f = g Simplifying f = g
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