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Simplifying 63 = 5(a + 6) + 3 Reorder the terms: 63 = 5(6 + a) + 3 63 = (6 * 5 + a * 5) + 3 63 = (30 + 5a) + 3 Reorder the terms: 63 = 30 + 3 + 5a Combine like terms: 30 + 3 = 33 63 = 33 + 5a Solving 63 = 33 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 63 + -5a = 33 + 5a + -5a Combine like terms: 5a + -5a = 0 63 + -5a = 33 + 0 63 + -5a = 33 Add '-63' to each side of the equation. 63 + -63 + -5a = 33 + -63 Combine like terms: 63 + -63 = 0 0 + -5a = 33 + -63 -5a = 33 + -63 Combine like terms: 33 + -63 = -30 -5a = -30 Divide each side by '-5'. a = 6 Simplifying a = 6
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