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Simplifying 3(g + -5) + 8g = 17 + -3(g + -10g) Reorder the terms: 3(-5 + g) + 8g = 17 + -3(g + -10g) (-5 * 3 + g * 3) + 8g = 17 + -3(g + -10g) (-15 + 3g) + 8g = 17 + -3(g + -10g) Combine like terms: 3g + 8g = 11g -15 + 11g = 17 + -3(g + -10g) Combine like terms: g + -10g = -9g -15 + 11g = 17 + -3(-9g) Remove parenthesis around (-9g) -15 + 11g = 17 + -3 * -9g Multiply -3 * -9 -15 + 11g = 17 + 27g Solving -15 + 11g = 17 + 27g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-27g' to each side of the equation. -15 + 11g + -27g = 17 + 27g + -27g Combine like terms: 11g + -27g = -16g -15 + -16g = 17 + 27g + -27g Combine like terms: 27g + -27g = 0 -15 + -16g = 17 + 0 -15 + -16g = 17 Add '15' to each side of the equation. -15 + 15 + -16g = 17 + 15 Combine like terms: -15 + 15 = 0 0 + -16g = 17 + 15 -16g = 17 + 15 Combine like terms: 17 + 15 = 32 -16g = 32 Divide each side by '-16'. g = -2 Simplifying g = -2
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