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Simplifying 48 + -4(g + -17) = 142 + -18(g + -10) Reorder the terms: 48 + -4(-17 + g) = 142 + -18(g + -10) 48 + (-17 * -4 + g * -4) = 142 + -18(g + -10) 48 + (68 + -4g) = 142 + -18(g + -10) Combine like terms: 48 + 68 = 116 116 + -4g = 142 + -18(g + -10) Reorder the terms: 116 + -4g = 142 + -18(-10 + g) 116 + -4g = 142 + (-10 * -18 + g * -18) 116 + -4g = 142 + (180 + -18g) Combine like terms: 142 + 180 = 322 116 + -4g = 322 + -18g Solving 116 + -4g = 322 + -18g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '18g' to each side of the equation. 116 + -4g + 18g = 322 + -18g + 18g Combine like terms: -4g + 18g = 14g 116 + 14g = 322 + -18g + 18g Combine like terms: -18g + 18g = 0 116 + 14g = 322 + 0 116 + 14g = 322 Add '-116' to each side of the equation. 116 + -116 + 14g = 322 + -116 Combine like terms: 116 + -116 = 0 0 + 14g = 322 + -116 14g = 322 + -116 Combine like terms: 322 + -116 = 206 14g = 206 Divide each side by '14'. g = 14.71428571 Simplifying g = 14.71428571
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