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Simplifying 2a + -16 + 3a + 2 = 6(a + 3) Reorder the terms: -16 + 2 + 2a + 3a = 6(a + 3) Combine like terms: -16 + 2 = -14 -14 + 2a + 3a = 6(a + 3) Combine like terms: 2a + 3a = 5a -14 + 5a = 6(a + 3) Reorder the terms: -14 + 5a = 6(3 + a) -14 + 5a = (3 * 6 + a * 6) -14 + 5a = (18 + 6a) Solving -14 + 5a = 18 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -14 + 5a + -6a = 18 + 6a + -6a Combine like terms: 5a + -6a = -1a -14 + -1a = 18 + 6a + -6a Combine like terms: 6a + -6a = 0 -14 + -1a = 18 + 0 -14 + -1a = 18 Add '14' to each side of the equation. -14 + 14 + -1a = 18 + 14 Combine like terms: -14 + 14 = 0 0 + -1a = 18 + 14 -1a = 18 + 14 Combine like terms: 18 + 14 = 32 -1a = 32 Divide each side by '-1'. a = -32 Simplifying a = -32
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