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Simplifying 5(3 + g) + -2 = 3(g + 3) + -1 (3 * 5 + g * 5) + -2 = 3(g + 3) + -1 (15 + 5g) + -2 = 3(g + 3) + -1 Reorder the terms: 15 + -2 + 5g = 3(g + 3) + -1 Combine like terms: 15 + -2 = 13 13 + 5g = 3(g + 3) + -1 Reorder the terms: 13 + 5g = 3(3 + g) + -1 13 + 5g = (3 * 3 + g * 3) + -1 13 + 5g = (9 + 3g) + -1 Reorder the terms: 13 + 5g = 9 + -1 + 3g Combine like terms: 9 + -1 = 8 13 + 5g = 8 + 3g Solving 13 + 5g = 8 + 3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g' to each side of the equation. 13 + 5g + -3g = 8 + 3g + -3g Combine like terms: 5g + -3g = 2g 13 + 2g = 8 + 3g + -3g Combine like terms: 3g + -3g = 0 13 + 2g = 8 + 0 13 + 2g = 8 Add '-13' to each side of the equation. 13 + -13 + 2g = 8 + -13 Combine like terms: 13 + -13 = 0 0 + 2g = 8 + -13 2g = 8 + -13 Combine like terms: 8 + -13 = -5 2g = -5 Divide each side by '2'. g = -2.5 Simplifying g = -2.5
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