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Simplifying -7a + -5(1 + 4a) = 24 + 2a -7a + (1 * -5 + 4a * -5) = 24 + 2a -7a + (-5 + -20a) = 24 + 2a Reorder the terms: -5 + -7a + -20a = 24 + 2a Combine like terms: -7a + -20a = -27a -5 + -27a = 24 + 2a Solving -5 + -27a = 24 + 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. -5 + -27a + -2a = 24 + 2a + -2a Combine like terms: -27a + -2a = -29a -5 + -29a = 24 + 2a + -2a Combine like terms: 2a + -2a = 0 -5 + -29a = 24 + 0 -5 + -29a = 24 Add '5' to each side of the equation. -5 + 5 + -29a = 24 + 5 Combine like terms: -5 + 5 = 0 0 + -29a = 24 + 5 -29a = 24 + 5 Combine like terms: 24 + 5 = 29 -29a = 29 Divide each side by '-29'. a = -1 Simplifying a = -1
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