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Simplifying 3a + 7 = 2(a + -9) + 36 Reorder the terms: 7 + 3a = 2(a + -9) + 36 Reorder the terms: 7 + 3a = 2(-9 + a) + 36 7 + 3a = (-9 * 2 + a * 2) + 36 7 + 3a = (-18 + 2a) + 36 Reorder the terms: 7 + 3a = -18 + 36 + 2a Combine like terms: -18 + 36 = 18 7 + 3a = 18 + 2a Solving 7 + 3a = 18 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 7 + 3a + -2a = 18 + 2a + -2a Combine like terms: 3a + -2a = 1a 7 + 1a = 18 + 2a + -2a Combine like terms: 2a + -2a = 0 7 + 1a = 18 + 0 7 + 1a = 18 Add '-7' to each side of the equation. 7 + -7 + 1a = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 1a = 18 + -7 1a = 18 + -7 Combine like terms: 18 + -7 = 11 1a = 11 Divide each side by '1'. a = 11 Simplifying a = 11
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