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Simplifying 4a + 5(1 + 7a) = -229 4a + (1 * 5 + 7a * 5) = -229 4a + (5 + 35a) = -229 Reorder the terms: 5 + 4a + 35a = -229 Combine like terms: 4a + 35a = 39a 5 + 39a = -229 Solving 5 + 39a = -229 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 + 39a = -229 + -5 Combine like terms: 5 + -5 = 0 0 + 39a = -229 + -5 39a = -229 + -5 Combine like terms: -229 + -5 = -234 39a = -234 Divide each side by '39'. a = -6 Simplifying a = -6
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