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Simplifying -2(a + 1) + -3(1 + -7a) = -24 Reorder the terms: -2(1 + a) + -3(1 + -7a) = -24 (1 * -2 + a * -2) + -3(1 + -7a) = -24 (-2 + -2a) + -3(1 + -7a) = -24 -2 + -2a + (1 * -3 + -7a * -3) = -24 -2 + -2a + (-3 + 21a) = -24 Reorder the terms: -2 + -3 + -2a + 21a = -24 Combine like terms: -2 + -3 = -5 -5 + -2a + 21a = -24 Combine like terms: -2a + 21a = 19a -5 + 19a = -24 Solving -5 + 19a = -24 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 19a = -24 + 5 Combine like terms: -5 + 5 = 0 0 + 19a = -24 + 5 19a = -24 + 5 Combine like terms: -24 + 5 = -19 19a = -19 Divide each side by '19'. a = -1 Simplifying a = -1
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