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Simplifying -5(2g + -1) = -3(2g + 5) Reorder the terms: -5(-1 + 2g) = -3(2g + 5) (-1 * -5 + 2g * -5) = -3(2g + 5) (5 + -10g) = -3(2g + 5) Reorder the terms: 5 + -10g = -3(5 + 2g) 5 + -10g = (5 * -3 + 2g * -3) 5 + -10g = (-15 + -6g) Solving 5 + -10g = -15 + -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. 5 + -10g + 6g = -15 + -6g + 6g Combine like terms: -10g + 6g = -4g 5 + -4g = -15 + -6g + 6g Combine like terms: -6g + 6g = 0 5 + -4g = -15 + 0 5 + -4g = -15 Add '-5' to each side of the equation. 5 + -5 + -4g = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -4g = -15 + -5 -4g = -15 + -5 Combine like terms: -15 + -5 = -20 -4g = -20 Divide each side by '-4'. g = 5 Simplifying g = 5
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