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Simplifying 5(a + 7) + -7(2 + -3a) = 47 Reorder the terms: 5(7 + a) + -7(2 + -3a) = 47 (7 * 5 + a * 5) + -7(2 + -3a) = 47 (35 + 5a) + -7(2 + -3a) = 47 35 + 5a + (2 * -7 + -3a * -7) = 47 35 + 5a + (-14 + 21a) = 47 Reorder the terms: 35 + -14 + 5a + 21a = 47 Combine like terms: 35 + -14 = 21 21 + 5a + 21a = 47 Combine like terms: 5a + 21a = 26a 21 + 26a = 47 Solving 21 + 26a = 47 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 26a = 47 + -21 Combine like terms: 21 + -21 = 0 0 + 26a = 47 + -21 26a = 47 + -21 Combine like terms: 47 + -21 = 26 26a = 26 Divide each side by '26'. a = 1 Simplifying a = 1
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