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Simplifying 7 = 2(a + 5) Reorder the terms: 7 = 2(5 + a) 7 = (5 * 2 + a * 2) 7 = (10 + 2a) Solving 7 = 10 + 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. 7 + -2a = 10 + 2a + -2a Combine like terms: 2a + -2a = 0 7 + -2a = 10 + 0 7 + -2a = 10 Add '-7' to each side of the equation. 7 + -7 + -2a = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = 10 + -7 -2a = 10 + -7 Combine like terms: 10 + -7 = 3 -2a = 3 Divide each side by '-2'. a = -1.5 Simplifying a = -1.5
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