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Simplifying -4(5g + -7) + 3(8g + -3) = 15 + -4 + 3g Reorder the terms: -4(-7 + 5g) + 3(8g + -3) = 15 + -4 + 3g (-7 * -4 + 5g * -4) + 3(8g + -3) = 15 + -4 + 3g (28 + -20g) + 3(8g + -3) = 15 + -4 + 3g Reorder the terms: 28 + -20g + 3(-3 + 8g) = 15 + -4 + 3g 28 + -20g + (-3 * 3 + 8g * 3) = 15 + -4 + 3g 28 + -20g + (-9 + 24g) = 15 + -4 + 3g Reorder the terms: 28 + -9 + -20g + 24g = 15 + -4 + 3g Combine like terms: 28 + -9 = 19 19 + -20g + 24g = 15 + -4 + 3g Combine like terms: -20g + 24g = 4g 19 + 4g = 15 + -4 + 3g Combine like terms: 15 + -4 = 11 19 + 4g = 11 + 3g Solving 19 + 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. 19 + 4g + -3g = 11 + 3g + -3g Combine like terms: 4g + -3g = 1g 19 + 1g = 11 + 3g + -3g Combine like terms: 3g + -3g = 0 19 + 1g = 11 + 0 19 + 1g = 11 Add '-19' to each side of the equation. 19 + -19 + 1g = 11 + -19 Combine like terms: 19 + -19 = 0 0 + 1g = 11 + -19 1g = 11 + -19 Combine like terms: 11 + -19 = -8 1g = -8 Divide each side by '1'. g = -8 Simplifying g = -8
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