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Simplifying 18 + -1(g + -6) = 8g + 3(g + -4) Reorder the terms: 18 + -1(-6 + g) = 8g + 3(g + -4) 18 + (-6 * -1 + g * -1) = 8g + 3(g + -4) 18 + (6 + -1g) = 8g + 3(g + -4) Combine like terms: 18 + 6 = 24 24 + -1g = 8g + 3(g + -4) Reorder the terms: 24 + -1g = 8g + 3(-4 + g) 24 + -1g = 8g + (-4 * 3 + g * 3) 24 + -1g = 8g + (-12 + 3g) Reorder the terms: 24 + -1g = -12 + 8g + 3g Combine like terms: 8g + 3g = 11g 24 + -1g = -12 + 11g Solving 24 + -1g = -12 + 11g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-11g' to each side of the equation. 24 + -1g + -11g = -12 + 11g + -11g Combine like terms: -1g + -11g = -12g 24 + -12g = -12 + 11g + -11g Combine like terms: 11g + -11g = 0 24 + -12g = -12 + 0 24 + -12g = -12 Add '-24' to each side of the equation. 24 + -24 + -12g = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -12g = -12 + -24 -12g = -12 + -24 Combine like terms: -12 + -24 = -36 -12g = -36 Divide each side by '-12'. g = 3 Simplifying g = 3
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