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Simplifying 13 + -3x + -9 = 8x + a + -11x Reorder the terms: 13 + -9 + -3x = 8x + a + -11x Combine like terms: 13 + -9 = 4 4 + -3x = 8x + a + -11x Reorder the terms: 4 + -3x = a + 8x + -11x Combine like terms: 8x + -11x = -3x 4 + -3x = a + -3x Add '3x' to each side of the equation. 4 + -3x + 3x = a + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 0 = a + -3x + 3x 4 = a + -3x + 3x Combine like terms: -3x + 3x = 0 4 = a + 0 4 = a Solving 4 = a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 4 + -1a = a + -1a Combine like terms: a + -1a = 0 4 + -1a = 0 Add '-4' to each side of the equation. 4 + -4 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4
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