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Simplifying 5 + -3(3 + -2a) = 12 + 8a 5 + (3 * -3 + -2a * -3) = 12 + 8a 5 + (-9 + 6a) = 12 + 8a Combine like terms: 5 + -9 = -4 -4 + 6a = 12 + 8a Solving -4 + 6a = 12 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -4 + 6a + -8a = 12 + 8a + -8a Combine like terms: 6a + -8a = -2a -4 + -2a = 12 + 8a + -8a Combine like terms: 8a + -8a = 0 -4 + -2a = 12 + 0 -4 + -2a = 12 Add '4' to each side of the equation. -4 + 4 + -2a = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -2a = 12 + 4 -2a = 12 + 4 Combine like terms: 12 + 4 = 16 -2a = 16 Divide each side by '-2'. a = -8 Simplifying a = -8
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