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Simplifying -1(1 + 2a) = 27 + 5a (1 * -1 + 2a * -1) = 27 + 5a (-1 + -2a) = 27 + 5a Solving -1 + -2a = 27 + 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. -1 + -2a + -5a = 27 + 5a + -5a Combine like terms: -2a + -5a = -7a -1 + -7a = 27 + 5a + -5a Combine like terms: 5a + -5a = 0 -1 + -7a = 27 + 0 -1 + -7a = 27 Add '1' to each side of the equation. -1 + 1 + -7a = 27 + 1 Combine like terms: -1 + 1 = 0 0 + -7a = 27 + 1 -7a = 27 + 1 Combine like terms: 27 + 1 = 28 -7a = 28 Divide each side by '-7'. a = -4 Simplifying a = -4
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