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Simplifying 6(7g + -16) = 4(6g + 12) Reorder the terms: 6(-16 + 7g) = 4(6g + 12) (-16 * 6 + 7g * 6) = 4(6g + 12) (-96 + 42g) = 4(6g + 12) Reorder the terms: -96 + 42g = 4(12 + 6g) -96 + 42g = (12 * 4 + 6g * 4) -96 + 42g = (48 + 24g) Solving -96 + 42g = 48 + 24g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24g' to each side of the equation. -96 + 42g + -24g = 48 + 24g + -24g Combine like terms: 42g + -24g = 18g -96 + 18g = 48 + 24g + -24g Combine like terms: 24g + -24g = 0 -96 + 18g = 48 + 0 -96 + 18g = 48 Add '96' to each side of the equation. -96 + 96 + 18g = 48 + 96 Combine like terms: -96 + 96 = 0 0 + 18g = 48 + 96 18g = 48 + 96 Combine like terms: 48 + 96 = 144 18g = 144 Divide each side by '18'. g = 8 Simplifying g = 8
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