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Simplifying 3(g + -5) + 8g = 18 + -1(3 + -10g) Reorder the terms: 3(-5 + g) + 8g = 18 + -1(3 + -10g) (-5 * 3 + g * 3) + 8g = 18 + -1(3 + -10g) (-15 + 3g) + 8g = 18 + -1(3 + -10g) Combine like terms: 3g + 8g = 11g -15 + 11g = 18 + -1(3 + -10g) -15 + 11g = 18 + (3 * -1 + -10g * -1) -15 + 11g = 18 + (-3 + 10g) Combine like terms: 18 + -3 = 15 -15 + 11g = 15 + 10g Solving -15 + 11g = 15 + 10g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10g' to each side of the equation. -15 + 11g + -10g = 15 + 10g + -10g Combine like terms: 11g + -10g = 1g -15 + 1g = 15 + 10g + -10g Combine like terms: 10g + -10g = 0 -15 + 1g = 15 + 0 -15 + 1g = 15 Add '15' to each side of the equation. -15 + 15 + 1g = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 1g = 15 + 15 1g = 15 + 15 Combine like terms: 15 + 15 = 30 1g = 30 Divide each side by '1'. g = 30 Simplifying g = 30
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