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Simplifying 2(5 + 2a) + -3(a + -4) = 2a (5 * 2 + 2a * 2) + -3(a + -4) = 2a (10 + 4a) + -3(a + -4) = 2a Reorder the terms: 10 + 4a + -3(-4 + a) = 2a 10 + 4a + (-4 * -3 + a * -3) = 2a 10 + 4a + (12 + -3a) = 2a Reorder the terms: 10 + 12 + 4a + -3a = 2a Combine like terms: 10 + 12 = 22 22 + 4a + -3a = 2a Combine like terms: 4a + -3a = 1a 22 + 1a = 2a Solving 22 + 1a = 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 22 + 1a + -2a = 2a + -2a Combine like terms: 1a + -2a = -1a 22 + -1a = 2a + -2a Combine like terms: 2a + -2a = 0 22 + -1a = 0 Add '-22' to each side of the equation. 22 + -22 + -1a = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1a = 0 + -22 -1a = 0 + -22 Combine like terms: 0 + -22 = -22 -1a = -22 Divide each side by '-1'. a = 22 Simplifying a = 22
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