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Simplifying -5g + 2 + 3g + -6 = -2(-3g + 10) Reorder the terms: 2 + -6 + -5g + 3g = -2(-3g + 10) Combine like terms: 2 + -6 = -4 -4 + -5g + 3g = -2(-3g + 10) Combine like terms: -5g + 3g = -2g -4 + -2g = -2(-3g + 10) Reorder the terms: -4 + -2g = -2(10 + -3g) -4 + -2g = (10 * -2 + -3g * -2) -4 + -2g = (-20 + 6g) Solving -4 + -2g = -20 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. -4 + -2g + -6g = -20 + 6g + -6g Combine like terms: -2g + -6g = -8g -4 + -8g = -20 + 6g + -6g Combine like terms: 6g + -6g = 0 -4 + -8g = -20 + 0 -4 + -8g = -20 Add '4' to each side of the equation. -4 + 4 + -8g = -20 + 4 Combine like terms: -4 + 4 = 0 0 + -8g = -20 + 4 -8g = -20 + 4 Combine like terms: -20 + 4 = -16 -8g = -16 Divide each side by '-8'. g = 2 Simplifying g = 2
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