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Simplifying q = 22x + -1((10x + 5y) + -1(7x + -4y) + (x + -9y)) Remove parenthesis around (10x + 5y) q = 22x + -1(10x + 5y + -1(7x + -4y) + (x + -9y)) q = 22x + -1(10x + 5y + (7x * -1 + -4y * -1) + (x + -9y)) q = 22x + -1(10x + 5y + (-7x + 4y) + (x + -9y)) Remove parenthesis around (x + -9y) q = 22x + -1(10x + 5y + -7x + 4y + x + -9y) Reorder the terms: q = 22x + -1(10x + -7x + x + 5y + 4y + -9y) Combine like terms: 10x + -7x = 3x q = 22x + -1(3x + x + 5y + 4y + -9y) Combine like terms: 3x + x = 4x q = 22x + -1(4x + 5y + 4y + -9y) Combine like terms: 5y + 4y = 9y q = 22x + -1(4x + 9y + -9y) Combine like terms: 9y + -9y = 0 q = 22x + -1(4x + 0) q = 22x + -1(4x) Remove parenthesis around (4x) q = 22x + -1 * 4x Multiply -1 * 4 q = 22x + -4x Combine like terms: 22x + -4x = 18x q = 18x Solving q = 18x Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Simplifying q = 18x
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