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Simplifying 6(2a + 10) = (a + 5) Reorder the terms: 6(10 + 2a) = (a + 5) (10 * 6 + 2a * 6) = (a + 5) (60 + 12a) = (a + 5) Reorder the terms: 60 + 12a = (5 + a) Remove parenthesis around (5 + a) 60 + 12a = 5 + a Solving 60 + 12a = 5 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 60 + 12a + -1a = 5 + a + -1a Combine like terms: 12a + -1a = 11a 60 + 11a = 5 + a + -1a Combine like terms: a + -1a = 0 60 + 11a = 5 + 0 60 + 11a = 5 Add '-60' to each side of the equation. 60 + -60 + 11a = 5 + -60 Combine like terms: 60 + -60 = 0 0 + 11a = 5 + -60 11a = 5 + -60 Combine like terms: 5 + -60 = -55 11a = -55 Divide each side by '11'. a = -5 Simplifying a = -5
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