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Simplifying -3(a + 5) = -19 + -1a Reorder the terms: -3(5 + a) = -19 + -1a (5 * -3 + a * -3) = -19 + -1a (-15 + -3a) = -19 + -1a Solving -15 + -3a = -19 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -15 + -3a + a = -19 + -1a + a Combine like terms: -3a + a = -2a -15 + -2a = -19 + -1a + a Combine like terms: -1a + a = 0 -15 + -2a = -19 + 0 -15 + -2a = -19 Add '15' to each side of the equation. -15 + 15 + -2a = -19 + 15 Combine like terms: -15 + 15 = 0 0 + -2a = -19 + 15 -2a = -19 + 15 Combine like terms: -19 + 15 = -4 -2a = -4 Divide each side by '-2'. a = 2 Simplifying a = 2
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