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Simplifying 48 = -4(1 + 3g) + -2(-8 + 3g) 48 = (1 * -4 + 3g * -4) + -2(-8 + 3g) 48 = (-4 + -12g) + -2(-8 + 3g) 48 = -4 + -12g + (-8 * -2 + 3g * -2) 48 = -4 + -12g + (16 + -6g) Reorder the terms: 48 = -4 + 16 + -12g + -6g Combine like terms: -4 + 16 = 12 48 = 12 + -12g + -6g Combine like terms: -12g + -6g = -18g 48 = 12 + -18g Solving 48 = 12 + -18g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '18g' to each side of the equation. 48 + 18g = 12 + -18g + 18g Combine like terms: -18g + 18g = 0 48 + 18g = 12 + 0 48 + 18g = 12 Add '-48' to each side of the equation. 48 + -48 + 18g = 12 + -48 Combine like terms: 48 + -48 = 0 0 + 18g = 12 + -48 18g = 12 + -48 Combine like terms: 12 + -48 = -36 18g = -36 Divide each side by '18'. g = -2 Simplifying g = -2
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