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Simplifying 3x + 15 + -1a = 2(x + 2) Reorder the terms: 15 + -1a + 3x = 2(x + 2) Reorder the terms: 15 + -1a + 3x = 2(2 + x) 15 + -1a + 3x = (2 * 2 + x * 2) 15 + -1a + 3x = (4 + 2x) Solving 15 + -1a + 3x = 4 + 2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -1a + -15 + 3x = 4 + -15 + 2x Reorder the terms: 15 + -15 + -1a + 3x = 4 + -15 + 2x Combine like terms: 15 + -15 = 0 0 + -1a + 3x = 4 + -15 + 2x -1a + 3x = 4 + -15 + 2x Combine like terms: 4 + -15 = -11 -1a + 3x = -11 + 2x Add '-3x' to each side of the equation. -1a + 3x + -3x = -11 + 2x + -3x Combine like terms: 3x + -3x = 0 -1a + 0 = -11 + 2x + -3x -1a = -11 + 2x + -3x Combine like terms: 2x + -3x = -1x -1a = -11 + -1x Divide each side by '-1'. a = 11 + x Simplifying a = 11 + x
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