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Simplifying 63 = 4a + 3(a + 2) + 1 Reorder the terms: 63 = 4a + 3(2 + a) + 1 63 = 4a + (2 * 3 + a * 3) + 1 63 = 4a + (6 + 3a) + 1 Reorder the terms: 63 = 6 + 1 + 4a + 3a Combine like terms: 6 + 1 = 7 63 = 7 + 4a + 3a Combine like terms: 4a + 3a = 7a 63 = 7 + 7a Solving 63 = 7 + 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. 63 + -7a = 7 + 7a + -7a Combine like terms: 7a + -7a = 0 63 + -7a = 7 + 0 63 + -7a = 7 Add '-63' to each side of the equation. 63 + -63 + -7a = 7 + -63 Combine like terms: 63 + -63 = 0 0 + -7a = 7 + -63 -7a = 7 + -63 Combine like terms: 7 + -63 = -56 -7a = -56 Divide each side by '-7'. a = 8 Simplifying a = 8
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