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Simplifying 7(a + -3) + 5(a + 2) = 37 Reorder the terms: 7(-3 + a) + 5(a + 2) = 37 (-3 * 7 + a * 7) + 5(a + 2) = 37 (-21 + 7a) + 5(a + 2) = 37 Reorder the terms: -21 + 7a + 5(2 + a) = 37 -21 + 7a + (2 * 5 + a * 5) = 37 -21 + 7a + (10 + 5a) = 37 Reorder the terms: -21 + 10 + 7a + 5a = 37 Combine like terms: -21 + 10 = -11 -11 + 7a + 5a = 37 Combine like terms: 7a + 5a = 12a -11 + 12a = 37 Solving -11 + 12a = 37 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 12a = 37 + 11 Combine like terms: -11 + 11 = 0 0 + 12a = 37 + 11 12a = 37 + 11 Combine like terms: 37 + 11 = 48 12a = 48 Divide each side by '12'. a = 4 Simplifying a = 4
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