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Simplifying -7(10a + 5) = 7 + -5a Reorder the terms: -7(5 + 10a) = 7 + -5a (5 * -7 + 10a * -7) = 7 + -5a (-35 + -70a) = 7 + -5a Solving -35 + -70a = 7 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -35 + -70a + 5a = 7 + -5a + 5a Combine like terms: -70a + 5a = -65a -35 + -65a = 7 + -5a + 5a Combine like terms: -5a + 5a = 0 -35 + -65a = 7 + 0 -35 + -65a = 7 Add '35' to each side of the equation. -35 + 35 + -65a = 7 + 35 Combine like terms: -35 + 35 = 0 0 + -65a = 7 + 35 -65a = 7 + 35 Combine like terms: 7 + 35 = 42 -65a = 42 Divide each side by '-65'. a = -0.6461538462 Simplifying a = -0.6461538462
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