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Simplifying -4(5g + -7) + 3(8g + -8) = 15 + -4 + 3g Reorder the terms: -4(-7 + 5g) + 3(8g + -8) = 15 + -4 + 3g (-7 * -4 + 5g * -4) + 3(8g + -8) = 15 + -4 + 3g (28 + -20g) + 3(8g + -8) = 15 + -4 + 3g Reorder the terms: 28 + -20g + 3(-8 + 8g) = 15 + -4 + 3g 28 + -20g + (-8 * 3 + 8g * 3) = 15 + -4 + 3g 28 + -20g + (-24 + 24g) = 15 + -4 + 3g Reorder the terms: 28 + -24 + -20g + 24g = 15 + -4 + 3g Combine like terms: 28 + -24 = 4 4 + -20g + 24g = 15 + -4 + 3g Combine like terms: -20g + 24g = 4g 4 + 4g = 15 + -4 + 3g Combine like terms: 15 + -4 = 11 4 + 4g = 11 + 3g Solving 4 + 4g = 11 + 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 + 4g + -3g = 11 + 3g + -3g Combine like terms: 4g + -3g = 1g 4 + 1g = 11 + 3g + -3g Combine like terms: 3g + -3g = 0 4 + 1g = 11 + 0 4 + 1g = 11 Add '-4' to each side of the equation. 4 + -4 + 1g = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 1g = 11 + -4 1g = 11 + -4 Combine like terms: 11 + -4 = 7 1g = 7 Divide each side by '1'. g = 7 Simplifying g = 7
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