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Simplifying 4a + -3(a + -8) = 2 + 2a Reorder the terms: 4a + -3(-8 + a) = 2 + 2a 4a + (-8 * -3 + a * -3) = 2 + 2a 4a + (24 + -3a) = 2 + 2a Reorder the terms: 24 + 4a + -3a = 2 + 2a Combine like terms: 4a + -3a = 1a 24 + 1a = 2 + 2a Solving 24 + 1a = 2 + 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. 24 + 1a + -2a = 2 + 2a + -2a Combine like terms: 1a + -2a = -1a 24 + -1a = 2 + 2a + -2a Combine like terms: 2a + -2a = 0 24 + -1a = 2 + 0 24 + -1a = 2 Add '-24' to each side of the equation. 24 + -24 + -1a = 2 + -24 Combine like terms: 24 + -24 = 0 0 + -1a = 2 + -24 -1a = 2 + -24 Combine like terms: 2 + -24 = -22 -1a = -22 Divide each side by '-1'. a = 22 Simplifying a = 22
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