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Simplifying 4(a + 8) + -3 = 11 + -2a Reorder the terms: 4(8 + a) + -3 = 11 + -2a (8 * 4 + a * 4) + -3 = 11 + -2a (32 + 4a) + -3 = 11 + -2a Reorder the terms: 32 + -3 + 4a = 11 + -2a Combine like terms: 32 + -3 = 29 29 + 4a = 11 + -2a Solving 29 + 4a = 11 + -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. 29 + 4a + 2a = 11 + -2a + 2a Combine like terms: 4a + 2a = 6a 29 + 6a = 11 + -2a + 2a Combine like terms: -2a + 2a = 0 29 + 6a = 11 + 0 29 + 6a = 11 Add '-29' to each side of the equation. 29 + -29 + 6a = 11 + -29 Combine like terms: 29 + -29 = 0 0 + 6a = 11 + -29 6a = 11 + -29 Combine like terms: 11 + -29 = -18 6a = -18 Divide each side by '6'. a = -3 Simplifying a = -3
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