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Simplifying 4(a + 6) + -2 = -6a + 8 Reorder the terms: 4(6 + a) + -2 = -6a + 8 (6 * 4 + a * 4) + -2 = -6a + 8 (24 + 4a) + -2 = -6a + 8 Reorder the terms: 24 + -2 + 4a = -6a + 8 Combine like terms: 24 + -2 = 22 22 + 4a = -6a + 8 Reorder the terms: 22 + 4a = 8 + -6a Solving 22 + 4a = 8 + -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 + 4a + 6a = 8 + -6a + 6a Combine like terms: 4a + 6a = 10a 22 + 10a = 8 + -6a + 6a Combine like terms: -6a + 6a = 0 22 + 10a = 8 + 0 22 + 10a = 8 Add '-22' to each side of the equation. 22 + -22 + 10a = 8 + -22 Combine like terms: 22 + -22 = 0 0 + 10a = 8 + -22 10a = 8 + -22 Combine like terms: 8 + -22 = -14 10a = -14 Divide each side by '10'. a = -1.4 Simplifying a = -1.4
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