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Simplifying -19 = a + -7 + -5a Reorder the terms: -19 = -7 + a + -5a Combine like terms: a + -5a = -4a -19 = -7 + -4a Solving -19 = -7 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -19 + 4a = -7 + -4a + 4a Combine like terms: -4a + 4a = 0 -19 + 4a = -7 + 0 -19 + 4a = -7 Add '19' to each side of the equation. -19 + 19 + 4a = -7 + 19 Combine like terms: -19 + 19 = 0 0 + 4a = -7 + 19 4a = -7 + 19 Combine like terms: -7 + 19 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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