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Simplifying 2(a + 5) + -3(a + 4) = 3 Reorder the terms: 2(5 + a) + -3(a + 4) = 3 (5 * 2 + a * 2) + -3(a + 4) = 3 (10 + 2a) + -3(a + 4) = 3 Reorder the terms: 10 + 2a + -3(4 + a) = 3 10 + 2a + (4 * -3 + a * -3) = 3 10 + 2a + (-12 + -3a) = 3 Reorder the terms: 10 + -12 + 2a + -3a = 3 Combine like terms: 10 + -12 = -2 -2 + 2a + -3a = 3 Combine like terms: 2a + -3a = -1a -2 + -1a = 3 Solving -2 + -1a = 3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1a = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -1a = 3 + 2 -1a = 3 + 2 Combine like terms: 3 + 2 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5
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