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Simplifying -15g + -19 = -2(9g + -10) Reorder the terms: -19 + -15g = -2(9g + -10) Reorder the terms: -19 + -15g = -2(-10 + 9g) -19 + -15g = (-10 * -2 + 9g * -2) -19 + -15g = (20 + -18g) Solving -19 + -15g = 20 + -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. -19 + -15g + 18g = 20 + -18g + 18g Combine like terms: -15g + 18g = 3g -19 + 3g = 20 + -18g + 18g Combine like terms: -18g + 18g = 0 -19 + 3g = 20 + 0 -19 + 3g = 20 Add '19' to each side of the equation. -19 + 19 + 3g = 20 + 19 Combine like terms: -19 + 19 = 0 0 + 3g = 20 + 19 3g = 20 + 19 Combine like terms: 20 + 19 = 39 3g = 39 Divide each side by '3'. g = 13 Simplifying g = 13
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