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Simplifying and + b = 5(2x + 2) + -1(x + 9) Reorder the terms: adn + b = 5(2 + 2x) + -1(x + 9) adn + b = (2 * 5 + 2x * 5) + -1(x + 9) adn + b = (10 + 10x) + -1(x + 9) Reorder the terms: adn + b = 10 + 10x + -1(9 + x) adn + b = 10 + 10x + (9 * -1 + x * -1) adn + b = 10 + 10x + (-9 + -1x) Reorder the terms: adn + b = 10 + -9 + 10x + -1x Combine like terms: 10 + -9 = 1 adn + b = 1 + 10x + -1x Combine like terms: 10x + -1x = 9x adn + b = 1 + 9x Solving adn + b = 1 + 9x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. adn + b + -1b = 1 + -1b + 9x Combine like terms: b + -1b = 0 adn + 0 = 1 + -1b + 9x adn = 1 + -1b + 9x Divide each side by 'dn'. a = d-1n-1 + -1bd-1n-1 + 9d-1n-1x Simplifying a = d-1n-1 + -1bd-1n-1 + 9d-1n-1x Reorder the terms: a = -1bd-1n-1 + d-1n-1 + 9d-1n-1x
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