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Simplifying 2(7a + -5) = 3(4 + a) Reorder the terms: 2(-5 + 7a) = 3(4 + a) (-5 * 2 + 7a * 2) = 3(4 + a) (-10 + 14a) = 3(4 + a) -10 + 14a = (4 * 3 + a * 3) -10 + 14a = (12 + 3a) Solving -10 + 14a = 12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -10 + 14a + -3a = 12 + 3a + -3a Combine like terms: 14a + -3a = 11a -10 + 11a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 -10 + 11a = 12 + 0 -10 + 11a = 12 Add '10' to each side of the equation. -10 + 10 + 11a = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 11a = 12 + 10 11a = 12 + 10 Combine like terms: 12 + 10 = 22 11a = 22 Divide each side by '11'. a = 2 Simplifying a = 2
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