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Simplifying 3g + 5(7n + -3) = 9(n + -5) Reorder the terms: 3g + 5(-3 + 7n) = 9(n + -5) 3g + (-3 * 5 + 7n * 5) = 9(n + -5) 3g + (-15 + 35n) = 9(n + -5) Reorder the terms: -15 + 3g + 35n = 9(n + -5) Reorder the terms: -15 + 3g + 35n = 9(-5 + n) -15 + 3g + 35n = (-5 * 9 + n * 9) -15 + 3g + 35n = (-45 + 9n) Solving -15 + 3g + 35n = -45 + 9n Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 3g + 15 + 35n = -45 + 15 + 9n Reorder the terms: -15 + 15 + 3g + 35n = -45 + 15 + 9n Combine like terms: -15 + 15 = 0 0 + 3g + 35n = -45 + 15 + 9n 3g + 35n = -45 + 15 + 9n Combine like terms: -45 + 15 = -30 3g + 35n = -30 + 9n Add '-35n' to each side of the equation. 3g + 35n + -35n = -30 + 9n + -35n Combine like terms: 35n + -35n = 0 3g + 0 = -30 + 9n + -35n 3g = -30 + 9n + -35n Combine like terms: 9n + -35n = -26n 3g = -30 + -26n Divide each side by '3'. g = -10 + -8.666666667n Simplifying g = -10 + -8.666666667n
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