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Simplifying 4(7a + 7) = -7(2 + -5a) Reorder the terms: 4(7 + 7a) = -7(2 + -5a) (7 * 4 + 7a * 4) = -7(2 + -5a) (28 + 28a) = -7(2 + -5a) 28 + 28a = (2 * -7 + -5a * -7) 28 + 28a = (-14 + 35a) Solving 28 + 28a = -14 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. 28 + 28a + -35a = -14 + 35a + -35a Combine like terms: 28a + -35a = -7a 28 + -7a = -14 + 35a + -35a Combine like terms: 35a + -35a = 0 28 + -7a = -14 + 0 28 + -7a = -14 Add '-28' to each side of the equation. 28 + -28 + -7a = -14 + -28 Combine like terms: 28 + -28 = 0 0 + -7a = -14 + -28 -7a = -14 + -28 Combine like terms: -14 + -28 = -42 -7a = -42 Divide each side by '-7'. a = 6 Simplifying a = 6
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