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Simplifying 40 + a = 2(16 + a) 40 + a = (16 * 2 + a * 2) 40 + a = (32 + 2a) Solving 40 + a = 32 + 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. 40 + a + -2a = 32 + 2a + -2a Combine like terms: a + -2a = -1a 40 + -1a = 32 + 2a + -2a Combine like terms: 2a + -2a = 0 40 + -1a = 32 + 0 40 + -1a = 32 Add '-40' to each side of the equation. 40 + -40 + -1a = 32 + -40 Combine like terms: 40 + -40 = 0 0 + -1a = 32 + -40 -1a = 32 + -40 Combine like terms: 32 + -40 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8
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