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Simplifying -19 + 5a = -40 + 8a Solving -19 + 5a = -40 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -19 + 5a + -8a = -40 + 8a + -8a Combine like terms: 5a + -8a = -3a -19 + -3a = -40 + 8a + -8a Combine like terms: 8a + -8a = 0 -19 + -3a = -40 + 0 -19 + -3a = -40 Add '19' to each side of the equation. -19 + 19 + -3a = -40 + 19 Combine like terms: -19 + 19 = 0 0 + -3a = -40 + 19 -3a = -40 + 19 Combine like terms: -40 + 19 = -21 -3a = -21 Divide each side by '-3'. a = 7 Simplifying a = 7
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