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Simplifying 2a + 5 + -1(a + -7) = 47 Reorder the terms: 2a + 5 + -1(-7 + a) = 47 2a + 5 + (-7 * -1 + a * -1) = 47 2a + 5 + (7 + -1a) = 47 Reorder the terms: 5 + 7 + 2a + -1a = 47 Combine like terms: 5 + 7 = 12 12 + 2a + -1a = 47 Combine like terms: 2a + -1a = 1a 12 + 1a = 47 Solving 12 + 1a = 47 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1a = 47 + -12 Combine like terms: 12 + -12 = 0 0 + 1a = 47 + -12 1a = 47 + -12 Combine like terms: 47 + -12 = 35 1a = 35 Divide each side by '1'. a = 35 Simplifying a = 35
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