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Simplifying 13 + -1a = -2(a + -3) Reorder the terms: 13 + -1a = -2(-3 + a) 13 + -1a = (-3 * -2 + a * -2) 13 + -1a = (6 + -2a) Solving 13 + -1a = 6 + -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. 13 + -1a + 2a = 6 + -2a + 2a Combine like terms: -1a + 2a = 1a 13 + 1a = 6 + -2a + 2a Combine like terms: -2a + 2a = 0 13 + 1a = 6 + 0 13 + 1a = 6 Add '-13' to each side of the equation. 13 + -13 + 1a = 6 + -13 Combine like terms: 13 + -13 = 0 0 + 1a = 6 + -13 1a = 6 + -13 Combine like terms: 6 + -13 = -7 1a = -7 Divide each side by '1'. a = -7 Simplifying a = -7
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