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Simplifying 30 + 2a = 3 + -7(3 + 2a) 30 + 2a = 3 + (3 * -7 + 2a * -7) 30 + 2a = 3 + (-21 + -14a) Combine like terms: 3 + -21 = -18 30 + 2a = -18 + -14a Solving 30 + 2a = -18 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. 30 + 2a + 14a = -18 + -14a + 14a Combine like terms: 2a + 14a = 16a 30 + 16a = -18 + -14a + 14a Combine like terms: -14a + 14a = 0 30 + 16a = -18 + 0 30 + 16a = -18 Add '-30' to each side of the equation. 30 + -30 + 16a = -18 + -30 Combine like terms: 30 + -30 = 0 0 + 16a = -18 + -30 16a = -18 + -30 Combine like terms: -18 + -30 = -48 16a = -48 Divide each side by '16'. a = -3 Simplifying a = -3
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