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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 = -40a -10 + -40a = 20 + 35a + -35a Combine like terms: 35a + -35a = 0 -10 + -40a = 20 + 0 -10 + -40a = 20 Add '10' to each side of the equation. -10 + 10 + -40a = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -40a = 20 + 10 -40a = 20 + 10 Combine like terms: 20 + 10 = 30 -40a = 30 Divide each side by '-40'. a = -0.75 Simplifying a = -0.75
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