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Simplifying -2(g + 8) = 6(3g + -1) Reorder the terms: -2(8 + g) = 6(3g + -1) (8 * -2 + g * -2) = 6(3g + -1) (-16 + -2g) = 6(3g + -1) Reorder the terms: -16 + -2g = 6(-1 + 3g) -16 + -2g = (-1 * 6 + 3g * 6) -16 + -2g = (-6 + 18g) Solving -16 + -2g = -6 + 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. -16 + -2g + -18g = -6 + 18g + -18g Combine like terms: -2g + -18g = -20g -16 + -20g = -6 + 18g + -18g Combine like terms: 18g + -18g = 0 -16 + -20g = -6 + 0 -16 + -20g = -6 Add '16' to each side of the equation. -16 + 16 + -20g = -6 + 16 Combine like terms: -16 + 16 = 0 0 + -20g = -6 + 16 -20g = -6 + 16 Combine like terms: -6 + 16 = 10 -20g = 10 Divide each side by '-20'. g = -0.5 Simplifying g = -0.5
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