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Simplifying 2(a + 5) = 2(2a + 3) Reorder the terms: 2(5 + a) = 2(2a + 3) (5 * 2 + a * 2) = 2(2a + 3) (10 + 2a) = 2(2a + 3) Reorder the terms: 10 + 2a = 2(3 + 2a) 10 + 2a = (3 * 2 + 2a * 2) 10 + 2a = (6 + 4a) Solving 10 + 2a = 6 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 10 + 2a + -4a = 6 + 4a + -4a Combine like terms: 2a + -4a = -2a 10 + -2a = 6 + 4a + -4a Combine like terms: 4a + -4a = 0 10 + -2a = 6 + 0 10 + -2a = 6 Add '-10' to each side of the equation. 10 + -10 + -2a = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -2a = 6 + -10 -2a = 6 + -10 Combine like terms: 6 + -10 = -4 -2a = -4 Divide each side by '-2'. a = 2 Simplifying a = 2
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