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Simplifying 19a + -3(a + -6) = a + 63 Reorder the terms: 19a + -3(-6 + a) = a + 63 19a + (-6 * -3 + a * -3) = a + 63 19a + (18 + -3a) = a + 63 Reorder the terms: 18 + 19a + -3a = a + 63 Combine like terms: 19a + -3a = 16a 18 + 16a = a + 63 Reorder the terms: 18 + 16a = 63 + a Solving 18 + 16a = 63 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 18 + 16a + -1a = 63 + a + -1a Combine like terms: 16a + -1a = 15a 18 + 15a = 63 + a + -1a Combine like terms: a + -1a = 0 18 + 15a = 63 + 0 18 + 15a = 63 Add '-18' to each side of the equation. 18 + -18 + 15a = 63 + -18 Combine like terms: 18 + -18 = 0 0 + 15a = 63 + -18 15a = 63 + -18 Combine like terms: 63 + -18 = 45 15a = 45 Divide each side by '15'. a = 3 Simplifying a = 3
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