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Simplifying a + -6(3 + 5a) = 13 + 2a a + (3 * -6 + 5a * -6) = 13 + 2a a + (-18 + -30a) = 13 + 2a Reorder the terms: -18 + a + -30a = 13 + 2a Combine like terms: a + -30a = -29a -18 + -29a = 13 + 2a Solving -18 + -29a = 13 + 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. -18 + -29a + -2a = 13 + 2a + -2a Combine like terms: -29a + -2a = -31a -18 + -31a = 13 + 2a + -2a Combine like terms: 2a + -2a = 0 -18 + -31a = 13 + 0 -18 + -31a = 13 Add '18' to each side of the equation. -18 + 18 + -31a = 13 + 18 Combine like terms: -18 + 18 = 0 0 + -31a = 13 + 18 -31a = 13 + 18 Combine like terms: 13 + 18 = 31 -31a = 31 Divide each side by '-31'. a = -1 Simplifying a = -1
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