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Simplifying 8a + -1(5 + 4a) = 5(2a + -1) + -18 8a + (5 * -1 + 4a * -1) = 5(2a + -1) + -18 8a + (-5 + -4a) = 5(2a + -1) + -18 Reorder the terms: -5 + 8a + -4a = 5(2a + -1) + -18 Combine like terms: 8a + -4a = 4a -5 + 4a = 5(2a + -1) + -18 Reorder the terms: -5 + 4a = 5(-1 + 2a) + -18 -5 + 4a = (-1 * 5 + 2a * 5) + -18 -5 + 4a = (-5 + 10a) + -18 Reorder the terms: -5 + 4a = -5 + -18 + 10a Combine like terms: -5 + -18 = -23 -5 + 4a = -23 + 10a Solving -5 + 4a = -23 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -5 + 4a + -10a = -23 + 10a + -10a Combine like terms: 4a + -10a = -6a -5 + -6a = -23 + 10a + -10a Combine like terms: 10a + -10a = 0 -5 + -6a = -23 + 0 -5 + -6a = -23 Add '5' to each side of the equation. -5 + 5 + -6a = -23 + 5 Combine like terms: -5 + 5 = 0 0 + -6a = -23 + 5 -6a = -23 + 5 Combine like terms: -23 + 5 = -18 -6a = -18 Divide each side by '-6'. a = 3 Simplifying a = 3
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