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Simplifying -4(1 + 2a) = -5a + -19 (1 * -4 + 2a * -4) = -5a + -19 (-4 + -8a) = -5a + -19 Reorder the terms: -4 + -8a = -19 + -5a Solving -4 + -8a = -19 + -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. -4 + -8a + 5a = -19 + -5a + 5a Combine like terms: -8a + 5a = -3a -4 + -3a = -19 + -5a + 5a Combine like terms: -5a + 5a = 0 -4 + -3a = -19 + 0 -4 + -3a = -19 Add '4' to each side of the equation. -4 + 4 + -3a = -19 + 4 Combine like terms: -4 + 4 = 0 0 + -3a = -19 + 4 -3a = -19 + 4 Combine like terms: -19 + 4 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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