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Simplifying -105 = 5(1 + -2a) + -10 -105 = (1 * 5 + -2a * 5) + -10 -105 = (5 + -10a) + -10 Reorder the terms: -105 = 5 + -10 + -10a Combine like terms: 5 + -10 = -5 -105 = -5 + -10a Solving -105 = -5 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. -105 + 10a = -5 + -10a + 10a Combine like terms: -10a + 10a = 0 -105 + 10a = -5 + 0 -105 + 10a = -5 Add '105' to each side of the equation. -105 + 105 + 10a = -5 + 105 Combine like terms: -105 + 105 = 0 0 + 10a = -5 + 105 10a = -5 + 105 Combine like terms: -5 + 105 = 100 10a = 100 Divide each side by '10'. a = 10 Simplifying a = 10
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