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Simplifying 12(1 + -3g) + -8(g + f) = 0 (1 * 12 + -3g * 12) + -8(g + f) = 0 (12 + -36g) + -8(g + f) = 0 Reorder the terms: 12 + -36g + -8(f + g) = 0 12 + -36g + (f * -8 + g * -8) = 0 12 + -36g + (-8f + -8g) = 0 Reorder the terms: 12 + -8f + -36g + -8g = 0 Combine like terms: -36g + -8g = -44g 12 + -8f + -44g = 0 Solving 12 + -8f + -44g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -8f + -12 + -44g = 0 + -12 Reorder the terms: 12 + -12 + -8f + -44g = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -8f + -44g = 0 + -12 -8f + -44g = 0 + -12 Combine like terms: 0 + -12 = -12 -8f + -44g = -12 Add '44g' to each side of the equation. -8f + -44g + 44g = -12 + 44g Combine like terms: -44g + 44g = 0 -8f + 0 = -12 + 44g -8f = -12 + 44g Divide each side by '-8'. f = 1.5 + -5.5g Simplifying f = 1.5 + -5.5g
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