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Simplifying 5g + 11(-5 + 3g) = 1 + -1g 5g + (-5 * 11 + 3g * 11) = 1 + -1g 5g + (-55 + 33g) = 1 + -1g Reorder the terms: -55 + 5g + 33g = 1 + -1g Combine like terms: 5g + 33g = 38g -55 + 38g = 1 + -1g Solving -55 + 38g = 1 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -55 + 38g + g = 1 + -1g + g Combine like terms: 38g + g = 39g -55 + 39g = 1 + -1g + g Combine like terms: -1g + g = 0 -55 + 39g = 1 + 0 -55 + 39g = 1 Add '55' to each side of the equation. -55 + 55 + 39g = 1 + 55 Combine like terms: -55 + 55 = 0 0 + 39g = 1 + 55 39g = 1 + 55 Combine like terms: 1 + 55 = 56 39g = 56 Divide each side by '39'. g = 1.435897436 Simplifying g = 1.435897436
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