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Simplifying -10 = -10a + -1(5a + 2) Reorder the terms: -10 = -10a + -1(2 + 5a) -10 = -10a + (2 * -1 + 5a * -1) -10 = -10a + (-2 + -5a) Reorder the terms: -10 = -2 + -10a + -5a Combine like terms: -10a + -5a = -15a -10 = -2 + -15a Solving -10 = -2 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. -10 + 15a = -2 + -15a + 15a Combine like terms: -15a + 15a = 0 -10 + 15a = -2 + 0 -10 + 15a = -2 Add '10' to each side of the equation. -10 + 10 + 15a = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 15a = -2 + 10 15a = -2 + 10 Combine like terms: -2 + 10 = 8 15a = 8 Divide each side by '15'. a = 0.5333333333 Simplifying a = 0.5333333333
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