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Simplifying -2(g + 5g) + -2[6f + -1(-12g)] = 0 Combine like terms: g + 5g = 6g -2(6g) + -2[6f + -1(-12g)] = 0 Remove parenthesis around (6g) -2 * 6g + -2[6f + -1(-12g)] = 0 Multiply -2 * 6 -12g + -2[6f + -1(-12g)] = 0 Remove parenthesis around (-12g) -12g + -2[6f + -1 * -12g] = 0 Multiply -1 * -12 -12g + -2[6f + 12g] = 0 -12g + [6f * -2 + 12g * -2] = 0 -12g + [-12f + -24g] = 0 Reorder the terms: -12f + -12g + -24g = 0 Combine like terms: -12g + -24g = -36g -12f + -36g = 0 Solving -12f + -36g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '36g' to each side of the equation. -12f + -36g + 36g = 0 + 36g Combine like terms: -36g + 36g = 0 -12f + 0 = 0 + 36g -12f = 0 + 36g Remove the zero: -12f = 36g Divide each side by '-12'. f = -3g Simplifying f = -3g
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