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Simplifying 3(4 + -3a) = -30 + -3a (4 * 3 + -3a * 3) = -30 + -3a (12 + -9a) = -30 + -3a Solving 12 + -9a = -30 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 12 + -9a + 3a = -30 + -3a + 3a Combine like terms: -9a + 3a = -6a 12 + -6a = -30 + -3a + 3a Combine like terms: -3a + 3a = 0 12 + -6a = -30 + 0 12 + -6a = -30 Add '-12' to each side of the equation. 12 + -12 + -6a = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -6a = -30 + -12 -6a = -30 + -12 Combine like terms: -30 + -12 = -42 -6a = -42 Divide each side by '-6'. a = 7 Simplifying a = 7
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