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Simplifying -5a + -10 = 5(-7a + 5) + -5 Reorder the terms: -10 + -5a = 5(-7a + 5) + -5 Reorder the terms: -10 + -5a = 5(5 + -7a) + -5 -10 + -5a = (5 * 5 + -7a * 5) + -5 -10 + -5a = (25 + -35a) + -5 Reorder the terms: -10 + -5a = 25 + -5 + -35a Combine like terms: 25 + -5 = 20 -10 + -5a = 20 + -35a Solving -10 + -5a = 20 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. -10 + -5a + 35a = 20 + -35a + 35a Combine like terms: -5a + 35a = 30a -10 + 30a = 20 + -35a + 35a Combine like terms: -35a + 35a = 0 -10 + 30a = 20 + 0 -10 + 30a = 20 Add '10' to each side of the equation. -10 + 10 + 30a = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 30a = 20 + 10 30a = 20 + 10 Combine like terms: 20 + 10 = 30 30a = 30 Divide each side by '30'. a = 1 Simplifying a = 1
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