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Simplifying 7(2g + 3) + -5(y + 2) = 0 Reorder the terms: 7(3 + 2g) + -5(y + 2) = 0 (3 * 7 + 2g * 7) + -5(y + 2) = 0 (21 + 14g) + -5(y + 2) = 0 Reorder the terms: 21 + 14g + -5(2 + y) = 0 21 + 14g + (2 * -5 + y * -5) = 0 21 + 14g + (-10 + -5y) = 0 Reorder the terms: 21 + -10 + 14g + -5y = 0 Combine like terms: 21 + -10 = 11 11 + 14g + -5y = 0 Solving 11 + 14g + -5y = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 14g + -11 + -5y = 0 + -11 Reorder the terms: 11 + -11 + 14g + -5y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 14g + -5y = 0 + -11 14g + -5y = 0 + -11 Combine like terms: 0 + -11 = -11 14g + -5y = -11 Add '5y' to each side of the equation. 14g + -5y + 5y = -11 + 5y Combine like terms: -5y + 5y = 0 14g + 0 = -11 + 5y 14g = -11 + 5y Divide each side by '14'. g = -0.7857142857 + 0.3571428571y Simplifying g = -0.7857142857 + 0.3571428571y
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