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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 = -5a 12 + -5a = 30 + 7a + -7a Combine like terms: 7a + -7a = 0 12 + -5a = 30 + 0 12 + -5a = 30 Add '-12' to each side of the equation. 12 + -12 + -5a = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -5a = 30 + -12 -5a = 30 + -12 Combine like terms: 30 + -12 = 18 -5a = 18 Divide each side by '-5'. a = -3.6 Simplifying a = -3.6
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