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Simplifying -8a + 5(a + 6) = 22 + -2a Reorder the terms: -8a + 5(6 + a) = 22 + -2a -8a + (6 * 5 + a * 5) = 22 + -2a -8a + (30 + 5a) = 22 + -2a Reorder the terms: 30 + -8a + 5a = 22 + -2a Combine like terms: -8a + 5a = -3a 30 + -3a = 22 + -2a Solving 30 + -3a = 22 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 30 + -3a + 2a = 22 + -2a + 2a Combine like terms: -3a + 2a = -1a 30 + -1a = 22 + -2a + 2a Combine like terms: -2a + 2a = 0 30 + -1a = 22 + 0 30 + -1a = 22 Add '-30' to each side of the equation. 30 + -30 + -1a = 22 + -30 Combine like terms: 30 + -30 = 0 0 + -1a = 22 + -30 -1a = 22 + -30 Combine like terms: 22 + -30 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8
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