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Simplifying -19 = 5(2a + -1) + 2a Reorder the terms: -19 = 5(-1 + 2a) + 2a -19 = (-1 * 5 + 2a * 5) + 2a -19 = (-5 + 10a) + 2a Combine like terms: 10a + 2a = 12a -19 = -5 + 12a Solving -19 = -5 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -19 + -12a = -5 + 12a + -12a Combine like terms: 12a + -12a = 0 -19 + -12a = -5 + 0 -19 + -12a = -5 Add '19' to each side of the equation. -19 + 19 + -12a = -5 + 19 Combine like terms: -19 + 19 = 0 0 + -12a = -5 + 19 -12a = -5 + 19 Combine like terms: -5 + 19 = 14 -12a = 14 Divide each side by '-12'. a = -1.166666667 Simplifying a = -1.166666667
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