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Simplifying 15 + -1(a + -2) = 2a + 1 Reorder the terms: 15 + -1(-2 + a) = 2a + 1 15 + (-2 * -1 + a * -1) = 2a + 1 15 + (2 + -1a) = 2a + 1 Combine like terms: 15 + 2 = 17 17 + -1a = 2a + 1 Reorder the terms: 17 + -1a = 1 + 2a Solving 17 + -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. 17 + -1a + -2a = 1 + 2a + -2a Combine like terms: -1a + -2a = -3a 17 + -3a = 1 + 2a + -2a Combine like terms: 2a + -2a = 0 17 + -3a = 1 + 0 17 + -3a = 1 Add '-17' to each side of the equation. 17 + -17 + -3a = 1 + -17 Combine like terms: 17 + -17 = 0 0 + -3a = 1 + -17 -3a = 1 + -17 Combine like terms: 1 + -17 = -16 -3a = -16 Divide each side by '-3'. a = 5.333333333 Simplifying a = 5.333333333
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