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Simplifying 5(3g + 2) + -15 = 15(3g + 5) + 3g Reorder the terms: 5(2 + 3g) + -15 = 15(3g + 5) + 3g (2 * 5 + 3g * 5) + -15 = 15(3g + 5) + 3g (10 + 15g) + -15 = 15(3g + 5) + 3g Reorder the terms: 10 + -15 + 15g = 15(3g + 5) + 3g Combine like terms: 10 + -15 = -5 -5 + 15g = 15(3g + 5) + 3g Reorder the terms: -5 + 15g = 15(5 + 3g) + 3g -5 + 15g = (5 * 15 + 3g * 15) + 3g -5 + 15g = (75 + 45g) + 3g Combine like terms: 45g + 3g = 48g -5 + 15g = 75 + 48g Solving -5 + 15g = 75 + 48g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-48g' to each side of the equation. -5 + 15g + -48g = 75 + 48g + -48g Combine like terms: 15g + -48g = -33g -5 + -33g = 75 + 48g + -48g Combine like terms: 48g + -48g = 0 -5 + -33g = 75 + 0 -5 + -33g = 75 Add '5' to each side of the equation. -5 + 5 + -33g = 75 + 5 Combine like terms: -5 + 5 = 0 0 + -33g = 75 + 5 -33g = 75 + 5 Combine like terms: 75 + 5 = 80 -33g = 80 Divide each side by '-33'. g = -2.424242424 Simplifying g = -2.424242424
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