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Simplifying -2g + 15 = 10(-4g + 1) Reorder the terms: 15 + -2g = 10(-4g + 1) Reorder the terms: 15 + -2g = 10(1 + -4g) 15 + -2g = (1 * 10 + -4g * 10) 15 + -2g = (10 + -40g) Solving 15 + -2g = 10 + -40g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '40g' to each side of the equation. 15 + -2g + 40g = 10 + -40g + 40g Combine like terms: -2g + 40g = 38g 15 + 38g = 10 + -40g + 40g Combine like terms: -40g + 40g = 0 15 + 38g = 10 + 0 15 + 38g = 10 Add '-15' to each side of the equation. 15 + -15 + 38g = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 38g = 10 + -15 38g = 10 + -15 Combine like terms: 10 + -15 = -5 38g = -5 Divide each side by '38'. g = -0.1315789474 Simplifying g = -0.1315789474
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