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Simplifying 6(a + 5) = 2a + 8 Reorder the terms: 6(5 + a) = 2a + 8 (5 * 6 + a * 6) = 2a + 8 (30 + 6a) = 2a + 8 Reorder the terms: 30 + 6a = 8 + 2a Solving 30 + 6a = 8 + 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 + 6a + -2a = 8 + 2a + -2a Combine like terms: 6a + -2a = 4a 30 + 4a = 8 + 2a + -2a Combine like terms: 2a + -2a = 0 30 + 4a = 8 + 0 30 + 4a = 8 Add '-30' to each side of the equation. 30 + -30 + 4a = 8 + -30 Combine like terms: 30 + -30 = 0 0 + 4a = 8 + -30 4a = 8 + -30 Combine like terms: 8 + -30 = -22 4a = -22 Divide each side by '4'. a = -5.5 Simplifying a = -5.5
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