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Simplifying 11x + 3a + 7 + -5b + -4a + -2x + 6 = 0 Reorder the terms: 7 + 6 + 3a + -4a + -5b + 11x + -2x = 0 Combine like terms: 7 + 6 = 13 13 + 3a + -4a + -5b + 11x + -2x = 0 Combine like terms: 3a + -4a = -1a 13 + -1a + -5b + 11x + -2x = 0 Combine like terms: 11x + -2x = 9x 13 + -1a + -5b + 9x = 0 Solving 13 + -1a + -5b + 9x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -1a + -5b + -13 + 9x = 0 + -13 Reorder the terms: 13 + -13 + -1a + -5b + 9x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1a + -5b + 9x = 0 + -13 -1a + -5b + 9x = 0 + -13 Combine like terms: 0 + -13 = -13 -1a + -5b + 9x = -13 Add '5b' to each side of the equation. -1a + -5b + 5b + 9x = -13 + 5b Combine like terms: -5b + 5b = 0 -1a + 0 + 9x = -13 + 5b -1a + 9x = -13 + 5b Add '-9x' to each side of the equation. -1a + 9x + -9x = -13 + 5b + -9x Combine like terms: 9x + -9x = 0 -1a + 0 = -13 + 5b + -9x -1a = -13 + 5b + -9x Divide each side by '-1'. a = 13 + -5b + 9x Simplifying a = 13 + -5b + 9x
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