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Simplifying 16(x + -1g) = 4(2g + -1x) Reorder the terms: 16(-1g + x) = 4(2g + -1x) (-1g * 16 + x * 16) = 4(2g + -1x) (-16g + 16x) = 4(2g + -1x) -16g + 16x = (2g * 4 + -1x * 4) -16g + 16x = (8g + -4x) Solving -16g + 16x = 8g + -4x Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8g' to each side of the equation. -16g + -8g + 16x = 8g + -8g + -4x Combine like terms: -16g + -8g = -24g -24g + 16x = 8g + -8g + -4x Combine like terms: 8g + -8g = 0 -24g + 16x = 0 + -4x -24g + 16x = -4x Add '-16x' to each side of the equation. -24g + 16x + -16x = -4x + -16x Combine like terms: 16x + -16x = 0 -24g + 0 = -4x + -16x -24g = -4x + -16x Combine like terms: -4x + -16x = -20x -24g = -20x Divide each side by '-24'. g = 0.8333333333x Simplifying g = 0.8333333333x
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