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Simplifying 5(3g + 2) + -15 = 5(3g + 5) + 3g Reorder the terms: 5(2 + 3g) + -15 = 5(3g + 5) + 3g (2 * 5 + 3g * 5) + -15 = 5(3g + 5) + 3g (10 + 15g) + -15 = 5(3g + 5) + 3g Reorder the terms: 10 + -15 + 15g = 5(3g + 5) + 3g Combine like terms: 10 + -15 = -5 -5 + 15g = 5(3g + 5) + 3g Reorder the terms: -5 + 15g = 5(5 + 3g) + 3g -5 + 15g = (5 * 5 + 3g * 5) + 3g -5 + 15g = (25 + 15g) + 3g Combine like terms: 15g + 3g = 18g -5 + 15g = 25 + 18g Solving -5 + 15g = 25 + 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. -5 + 15g + -18g = 25 + 18g + -18g Combine like terms: 15g + -18g = -3g -5 + -3g = 25 + 18g + -18g Combine like terms: 18g + -18g = 0 -5 + -3g = 25 + 0 -5 + -3g = 25 Add '5' to each side of the equation. -5 + 5 + -3g = 25 + 5 Combine like terms: -5 + 5 = 0 0 + -3g = 25 + 5 -3g = 25 + 5 Combine like terms: 25 + 5 = 30 -3g = 30 Divide each side by '-3'. g = -10 Simplifying g = -10
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