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Simplifying 4g + -1(10 + -1g) = 4(11 + -1g) 4g + (10 * -1 + -1g * -1) = 4(11 + -1g) 4g + (-10 + 1g) = 4(11 + -1g) Reorder the terms: -10 + 4g + 1g = 4(11 + -1g) Combine like terms: 4g + 1g = 5g -10 + 5g = 4(11 + -1g) -10 + 5g = (11 * 4 + -1g * 4) -10 + 5g = (44 + -4g) Solving -10 + 5g = 44 + -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. -10 + 5g + 4g = 44 + -4g + 4g Combine like terms: 5g + 4g = 9g -10 + 9g = 44 + -4g + 4g Combine like terms: -4g + 4g = 0 -10 + 9g = 44 + 0 -10 + 9g = 44 Add '10' to each side of the equation. -10 + 10 + 9g = 44 + 10 Combine like terms: -10 + 10 = 0 0 + 9g = 44 + 10 9g = 44 + 10 Combine like terms: 44 + 10 = 54 9g = 54 Divide each side by '9'. g = 6 Simplifying g = 6
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