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Simplifying -1(a + 14) = 2a + 1 Reorder the terms: -1(14 + a) = 2a + 1 (14 * -1 + a * -1) = 2a + 1 (-14 + -1a) = 2a + 1 Reorder the terms: -14 + -1a = 1 + 2a Solving -14 + -1a = 1 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -14 + -1a + -2a = 1 + 2a + -2a Combine like terms: -1a + -2a = -3a -14 + -3a = 1 + 2a + -2a Combine like terms: 2a + -2a = 0 -14 + -3a = 1 + 0 -14 + -3a = 1 Add '14' to each side of the equation. -14 + 14 + -3a = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -3a = 1 + 14 -3a = 1 + 14 Combine like terms: 1 + 14 = 15 -3a = 15 Divide each side by '-3'. a = -5 Simplifying a = -5
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