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Simplifying 10(g + 3) + -1(-9g + -4) = g + -5 + 3 Reorder the terms: 10(3 + g) + -1(-9g + -4) = g + -5 + 3 (3 * 10 + g * 10) + -1(-9g + -4) = g + -5 + 3 (30 + 10g) + -1(-9g + -4) = g + -5 + 3 Reorder the terms: 30 + 10g + -1(-4 + -9g) = g + -5 + 3 30 + 10g + (-4 * -1 + -9g * -1) = g + -5 + 3 30 + 10g + (4 + 9g) = g + -5 + 3 Reorder the terms: 30 + 4 + 10g + 9g = g + -5 + 3 Combine like terms: 30 + 4 = 34 34 + 10g + 9g = g + -5 + 3 Combine like terms: 10g + 9g = 19g 34 + 19g = g + -5 + 3 Reorder the terms: 34 + 19g = -5 + 3 + g Combine like terms: -5 + 3 = -2 34 + 19g = -2 + g Solving 34 + 19g = -2 + g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1g' to each side of the equation. 34 + 19g + -1g = -2 + g + -1g Combine like terms: 19g + -1g = 18g 34 + 18g = -2 + g + -1g Combine like terms: g + -1g = 0 34 + 18g = -2 + 0 34 + 18g = -2 Add '-34' to each side of the equation. 34 + -34 + 18g = -2 + -34 Combine like terms: 34 + -34 = 0 0 + 18g = -2 + -34 18g = -2 + -34 Combine like terms: -2 + -34 = -36 18g = -36 Divide each side by '18'. g = -2 Simplifying g = -2
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