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Simplifying 0.75(6g + -9) = 7 + -2g Reorder the terms: 0.75(-9 + 6g) = 7 + -2g (-9 * 0.75 + 6g * 0.75) = 7 + -2g (-6.75 + 4.5g) = 7 + -2g Solving -6.75 + 4.5g = 7 + -2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2g' to each side of the equation. -6.75 + 4.5g + 2g = 7 + -2g + 2g Combine like terms: 4.5g + 2g = 6.5g -6.75 + 6.5g = 7 + -2g + 2g Combine like terms: -2g + 2g = 0 -6.75 + 6.5g = 7 + 0 -6.75 + 6.5g = 7 Add '6.75' to each side of the equation. -6.75 + 6.75 + 6.5g = 7 + 6.75 Combine like terms: -6.75 + 6.75 = 0.00 0.00 + 6.5g = 7 + 6.75 6.5g = 7 + 6.75 Combine like terms: 7 + 6.75 = 13.75 6.5g = 13.75 Divide each side by '6.5'. g = 2.115384615 Simplifying g = 2.115384615
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