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Simplifying 3(a + -1) = 19 + -5a Reorder the terms: 3(-1 + a) = 19 + -5a (-1 * 3 + a * 3) = 19 + -5a (-3 + 3a) = 19 + -5a Solving -3 + 3a = 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. -3 + 3a + 5a = 19 + -5a + 5a Combine like terms: 3a + 5a = 8a -3 + 8a = 19 + -5a + 5a Combine like terms: -5a + 5a = 0 -3 + 8a = 19 + 0 -3 + 8a = 19 Add '3' to each side of the equation. -3 + 3 + 8a = 19 + 3 Combine like terms: -3 + 3 = 0 0 + 8a = 19 + 3 8a = 19 + 3 Combine like terms: 19 + 3 = 22 8a = 22 Divide each side by '8'. a = 2.75 Simplifying a = 2.75
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