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Simplifying -1(1 + -4g) + 10 + -1g = 2(g + -3) (1 * -1 + -4g * -1) + 10 + -1g = 2(g + -3) (-1 + 4g) + 10 + -1g = 2(g + -3) Reorder the terms: -1 + 10 + 4g + -1g = 2(g + -3) Combine like terms: -1 + 10 = 9 9 + 4g + -1g = 2(g + -3) Combine like terms: 4g + -1g = 3g 9 + 3g = 2(g + -3) Reorder the terms: 9 + 3g = 2(-3 + g) 9 + 3g = (-3 * 2 + g * 2) 9 + 3g = (-6 + 2g) Solving 9 + 3g = -6 + 2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g' to each side of the equation. 9 + 3g + -2g = -6 + 2g + -2g Combine like terms: 3g + -2g = 1g 9 + 1g = -6 + 2g + -2g Combine like terms: 2g + -2g = 0 9 + 1g = -6 + 0 9 + 1g = -6 Add '-9' to each side of the equation. 9 + -9 + 1g = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 1g = -6 + -9 1g = -6 + -9 Combine like terms: -6 + -9 = -15 1g = -15 Divide each side by '1'. g = -15 Simplifying g = -15
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