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Simplifying 4.5(0.5g + -1) = 3(g + 2) Reorder the terms: 4.5(-1 + 0.5g) = 3(g + 2) (-1 * 4.5 + 0.5g * 4.5) = 3(g + 2) (-4.5 + 2.25g) = 3(g + 2) Reorder the terms: -4.5 + 2.25g = 3(2 + g) -4.5 + 2.25g = (2 * 3 + g * 3) -4.5 + 2.25g = (6 + 3g) Solving -4.5 + 2.25g = 6 + 3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g' to each side of the equation. -4.5 + 2.25g + -3g = 6 + 3g + -3g Combine like terms: 2.25g + -3g = -0.75g -4.5 + -0.75g = 6 + 3g + -3g Combine like terms: 3g + -3g = 0 -4.5 + -0.75g = 6 + 0 -4.5 + -0.75g = 6 Add '4.5' to each side of the equation. -4.5 + 4.5 + -0.75g = 6 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -0.75g = 6 + 4.5 -0.75g = 6 + 4.5 Combine like terms: 6 + 4.5 = 10.5 -0.75g = 10.5 Divide each side by '-0.75'. g = -14 Simplifying g = -14
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