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Simplifying 2(-2 + a) + 3(8 + a) = 2a + 5a (-2 * 2 + a * 2) + 3(8 + a) = 2a + 5a (-4 + 2a) + 3(8 + a) = 2a + 5a -4 + 2a + (8 * 3 + a * 3) = 2a + 5a -4 + 2a + (24 + 3a) = 2a + 5a Reorder the terms: -4 + 24 + 2a + 3a = 2a + 5a Combine like terms: -4 + 24 = 20 20 + 2a + 3a = 2a + 5a Combine like terms: 2a + 3a = 5a 20 + 5a = 2a + 5a Combine like terms: 2a + 5a = 7a 20 + 5a = 7a Solving 20 + 5a = 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 20 + 5a + -7a = 7a + -7a Combine like terms: 5a + -7a = -2a 20 + -2a = 7a + -7a Combine like terms: 7a + -7a = 0 20 + -2a = 0 Add '-20' to each side of the equation. 20 + -20 + -2a = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -2a = 0 + -20 -2a = 0 + -20 Combine like terms: 0 + -20 = -20 -2a = -20 Divide each side by '-2'. a = 10 Simplifying a = 10
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