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Simplifying 5a + -1(18 + a) = 6 + 3a + -21 5a + (18 * -1 + a * -1) = 6 + 3a + -21 5a + (-18 + -1a) = 6 + 3a + -21 Reorder the terms: -18 + 5a + -1a = 6 + 3a + -21 Combine like terms: 5a + -1a = 4a -18 + 4a = 6 + 3a + -21 Reorder the terms: -18 + 4a = 6 + -21 + 3a Combine like terms: 6 + -21 = -15 -18 + 4a = -15 + 3a Solving -18 + 4a = -15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -18 + 4a + -3a = -15 + 3a + -3a Combine like terms: 4a + -3a = 1a -18 + 1a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 -18 + 1a = -15 + 0 -18 + 1a = -15 Add '18' to each side of the equation. -18 + 18 + 1a = -15 + 18 Combine like terms: -18 + 18 = 0 0 + 1a = -15 + 18 1a = -15 + 18 Combine like terms: -15 + 18 = 3 1a = 3 Divide each side by '1'. a = 3 Simplifying a = 3
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