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Simplifying 5(1 + a) = 6(2 + a) (1 * 5 + a * 5) = 6(2 + a) (5 + 5a) = 6(2 + a) 5 + 5a = (2 * 6 + a * 6) 5 + 5a = (12 + 6a) Solving 5 + 5a = 12 + 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. 5 + 5a + -6a = 12 + 6a + -6a Combine like terms: 5a + -6a = -1a 5 + -1a = 12 + 6a + -6a Combine like terms: 6a + -6a = 0 5 + -1a = 12 + 0 5 + -1a = 12 Add '-5' to each side of the equation. 5 + -5 + -1a = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = 12 + -5 -1a = 12 + -5 Combine like terms: 12 + -5 = 7 -1a = 7 Divide each side by '-1'. a = -7 Simplifying a = -7
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