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Simplifying 2(a + b) + -47 = 4z (a * 2 + b * 2) + -47 = 4z (2a + 2b) + -47 = 4z Reorder the terms: -47 + 2a + 2b = 4z Solving -47 + 2a + 2b = 4z Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 2a + 47 + 2b = 47 + 4z Reorder the terms: -47 + 47 + 2a + 2b = 47 + 4z Combine like terms: -47 + 47 = 0 0 + 2a + 2b = 47 + 4z 2a + 2b = 47 + 4z Add '-2b' to each side of the equation. 2a + 2b + -2b = 47 + -2b + 4z Combine like terms: 2b + -2b = 0 2a + 0 = 47 + -2b + 4z 2a = 47 + -2b + 4z Divide each side by '2'. a = 23.5 + -1b + 2z Simplifying a = 23.5 + -1b + 2z
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