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Simplifying 4(9g + 2) + 8(-6g + -6) = 0 Reorder the terms: 4(2 + 9g) + 8(-6g + -6) = 0 (2 * 4 + 9g * 4) + 8(-6g + -6) = 0 (8 + 36g) + 8(-6g + -6) = 0 Reorder the terms: 8 + 36g + 8(-6 + -6g) = 0 8 + 36g + (-6 * 8 + -6g * 8) = 0 8 + 36g + (-48 + -48g) = 0 Reorder the terms: 8 + -48 + 36g + -48g = 0 Combine like terms: 8 + -48 = -40 -40 + 36g + -48g = 0 Combine like terms: 36g + -48g = -12g -40 + -12g = 0 Solving -40 + -12g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -12g = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -12g = 0 + 40 -12g = 0 + 40 Combine like terms: 0 + 40 = 40 -12g = 40 Divide each side by '-12'. g = -3.333333333 Simplifying g = -3.333333333
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