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Simplifying 0.5(2g + -3) = -4(g + 1) Reorder the terms: 0.5(-3 + 2g) = -4(g + 1) (-3 * 0.5 + 2g * 0.5) = -4(g + 1) (-1.5 + 1g) = -4(g + 1) Reorder the terms: -1.5 + 1g = -4(1 + g) -1.5 + 1g = (1 * -4 + g * -4) -1.5 + 1g = (-4 + -4g) Solving -1.5 + 1g = -4 + -4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4g' to each side of the equation. -1.5 + 1g + 4g = -4 + -4g + 4g Combine like terms: 1g + 4g = 5g -1.5 + 5g = -4 + -4g + 4g Combine like terms: -4g + 4g = 0 -1.5 + 5g = -4 + 0 -1.5 + 5g = -4 Add '1.5' to each side of the equation. -1.5 + 1.5 + 5g = -4 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 5g = -4 + 1.5 5g = -4 + 1.5 Combine like terms: -4 + 1.5 = -2.5 5g = -2.5 Divide each side by '5'. g = -0.5 Simplifying g = -0.5
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