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Simplifying -5(1 + 6a) + -2 = 24 + a (1 * -5 + 6a * -5) + -2 = 24 + a (-5 + -30a) + -2 = 24 + a Reorder the terms: -5 + -2 + -30a = 24 + a Combine like terms: -5 + -2 = -7 -7 + -30a = 24 + a Solving -7 + -30a = 24 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -7 + -30a + -1a = 24 + a + -1a Combine like terms: -30a + -1a = -31a -7 + -31a = 24 + a + -1a Combine like terms: a + -1a = 0 -7 + -31a = 24 + 0 -7 + -31a = 24 Add '7' to each side of the equation. -7 + 7 + -31a = 24 + 7 Combine like terms: -7 + 7 = 0 0 + -31a = 24 + 7 -31a = 24 + 7 Combine like terms: 24 + 7 = 31 -31a = 31 Divide each side by '-31'. a = -1 Simplifying a = -1
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