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Simplifying 2(a + 6) = -7a + 30 Reorder the terms: 2(6 + a) = -7a + 30 (6 * 2 + a * 2) = -7a + 30 (12 + 2a) = -7a + 30 Reorder the terms: 12 + 2a = 30 + -7a Solving 12 + 2a = 30 + -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. 12 + 2a + 7a = 30 + -7a + 7a Combine like terms: 2a + 7a = 9a 12 + 9a = 30 + -7a + 7a Combine like terms: -7a + 7a = 0 12 + 9a = 30 + 0 12 + 9a = 30 Add '-12' to each side of the equation. 12 + -12 + 9a = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 9a = 30 + -12 9a = 30 + -12 Combine like terms: 30 + -12 = 18 9a = 18 Divide each side by '9'. a = 2 Simplifying a = 2
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