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Simplifying 5(5g + -14) = 10 + -4(g + 20) Reorder the terms: 5(-14 + 5g) = 10 + -4(g + 20) (-14 * 5 + 5g * 5) = 10 + -4(g + 20) (-70 + 25g) = 10 + -4(g + 20) Reorder the terms: -70 + 25g = 10 + -4(20 + g) -70 + 25g = 10 + (20 * -4 + g * -4) -70 + 25g = 10 + (-80 + -4g) Combine like terms: 10 + -80 = -70 -70 + 25g = -70 + -4g Add '70' to each side of the equation. -70 + 70 + 25g = -70 + 70 + -4g Combine like terms: -70 + 70 = 0 0 + 25g = -70 + 70 + -4g 25g = -70 + 70 + -4g Combine like terms: -70 + 70 = 0 25g = 0 + -4g 25g = -4g Solving 25g = -4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4g' to each side of the equation. 25g + 4g = -4g + 4g Combine like terms: 25g + 4g = 29g 29g = -4g + 4g Combine like terms: -4g + 4g = 0 29g = 0 Divide each side by '29'. g = 0 Simplifying g = 0
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