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Simplifying -101 = -3(1 + -4a) + 2a -101 = (1 * -3 + -4a * -3) + 2a -101 = (-3 + 12a) + 2a Combine like terms: 12a + 2a = 14a -101 = -3 + 14a Solving -101 = -3 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -101 + -14a = -3 + 14a + -14a Combine like terms: 14a + -14a = 0 -101 + -14a = -3 + 0 -101 + -14a = -3 Add '101' to each side of the equation. -101 + 101 + -14a = -3 + 101 Combine like terms: -101 + 101 = 0 0 + -14a = -3 + 101 -14a = -3 + 101 Combine like terms: -3 + 101 = 98 -14a = 98 Divide each side by '-14'. a = -7 Simplifying a = -7
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