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Simplifying 9x + 3a + -10 = (3x + x) Reorder the terms: -10 + 3a + 9x = (3x + x) Combine like terms: 3x + x = 4x -10 + 3a + 9x = (4x) -10 + 3a + 9x = (4x) Solving -10 + 3a + 9x = (4x) Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 3a + 10 + 9x = 10 + (4x) Reorder the terms: -10 + 10 + 3a + 9x = 10 + (4x) Combine like terms: -10 + 10 = 0 0 + 3a + 9x = 10 + (4x) 3a + 9x = 10 + (4x) Add '-9x' to each side of the equation. 3a + 9x + -9x = 10 + (4x) + -9x Combine like terms: 9x + -9x = 0 3a + 0 = 10 + (4x) + -9x 3a = 10 + (4x) + -9x Combine like terms: (4x) + -9x = -5x 3a = 10 + -5x Divide each side by '3'. a = 3.333333333 + -1.666666667x Simplifying a = 3.333333333 + -1.666666667x
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