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Simplifying -15 = 5(3a + -10) + -6a Reorder the terms: -15 = 5(-10 + 3a) + -6a -15 = (-10 * 5 + 3a * 5) + -6a -15 = (-50 + 15a) + -6a Combine like terms: 15a + -6a = 9a -15 = -50 + 9a Solving -15 = -50 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -15 + -9a = -50 + 9a + -9a Combine like terms: 9a + -9a = 0 -15 + -9a = -50 + 0 -15 + -9a = -50 Add '15' to each side of the equation. -15 + 15 + -9a = -50 + 15 Combine like terms: -15 + 15 = 0 0 + -9a = -50 + 15 -9a = -50 + 15 Combine like terms: -50 + 15 = -35 -9a = -35 Divide each side by '-9'. a = 3.888888889 Simplifying a = 3.888888889
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