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Simplifying 4(2 + -2g) + -1(6 + -10g) = -1(-15 + -8g) + -1(11g + -4) (2 * 4 + -2g * 4) + -1(6 + -10g) = -1(-15 + -8g) + -1(11g + -4) (8 + -8g) + -1(6 + -10g) = -1(-15 + -8g) + -1(11g + -4) 8 + -8g + (6 * -1 + -10g * -1) = -1(-15 + -8g) + -1(11g + -4) 8 + -8g + (-6 + 10g) = -1(-15 + -8g) + -1(11g + -4) Reorder the terms: 8 + -6 + -8g + 10g = -1(-15 + -8g) + -1(11g + -4) Combine like terms: 8 + -6 = 2 2 + -8g + 10g = -1(-15 + -8g) + -1(11g + -4) Combine like terms: -8g + 10g = 2g 2 + 2g = -1(-15 + -8g) + -1(11g + -4) 2 + 2g = (-15 * -1 + -8g * -1) + -1(11g + -4) 2 + 2g = (15 + 8g) + -1(11g + -4) Reorder the terms: 2 + 2g = 15 + 8g + -1(-4 + 11g) 2 + 2g = 15 + 8g + (-4 * -1 + 11g * -1) 2 + 2g = 15 + 8g + (4 + -11g) Reorder the terms: 2 + 2g = 15 + 4 + 8g + -11g Combine like terms: 15 + 4 = 19 2 + 2g = 19 + 8g + -11g Combine like terms: 8g + -11g = -3g 2 + 2g = 19 + -3g Solving 2 + 2g = 19 + -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. 2 + 2g + 3g = 19 + -3g + 3g Combine like terms: 2g + 3g = 5g 2 + 5g = 19 + -3g + 3g Combine like terms: -3g + 3g = 0 2 + 5g = 19 + 0 2 + 5g = 19 Add '-2' to each side of the equation. 2 + -2 + 5g = 19 + -2 Combine like terms: 2 + -2 = 0 0 + 5g = 19 + -2 5g = 19 + -2 Combine like terms: 19 + -2 = 17 5g = 17 Divide each side by '5'. g = 3.4 Simplifying g = 3.4
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