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Simplifying a + -22 = 3(6 + 2a) Reorder the terms: -22 + a = 3(6 + 2a) -22 + a = (6 * 3 + 2a * 3) -22 + a = (18 + 6a) Solving -22 + a = 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. -22 + a + -6a = 18 + 6a + -6a Combine like terms: a + -6a = -5a -22 + -5a = 18 + 6a + -6a Combine like terms: 6a + -6a = 0 -22 + -5a = 18 + 0 -22 + -5a = 18 Add '22' to each side of the equation. -22 + 22 + -5a = 18 + 22 Combine like terms: -22 + 22 = 0 0 + -5a = 18 + 22 -5a = 18 + 22 Combine like terms: 18 + 22 = 40 -5a = 40 Divide each side by '-5'. a = -8 Simplifying a = -8
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