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Simplifying 5 = 6(a + -5) + -19 Reorder the terms: 5 = 6(-5 + a) + -19 5 = (-5 * 6 + a * 6) + -19 5 = (-30 + 6a) + -19 Reorder the terms: 5 = -30 + -19 + 6a Combine like terms: -30 + -19 = -49 5 = -49 + 6a Solving 5 = -49 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 5 + -6a = -49 + 6a + -6a Combine like terms: 6a + -6a = 0 5 + -6a = -49 + 0 5 + -6a = -49 Add '-5' to each side of the equation. 5 + -5 + -6a = -49 + -5 Combine like terms: 5 + -5 = 0 0 + -6a = -49 + -5 -6a = -49 + -5 Combine like terms: -49 + -5 = -54 -6a = -54 Divide each side by '-6'. a = 9 Simplifying a = 9
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