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Simplifying -7(-4a + -4) + 7(5 + -5a) = 70 Reorder the terms: -7(-4 + -4a) + 7(5 + -5a) = 70 (-4 * -7 + -4a * -7) + 7(5 + -5a) = 70 (28 + 28a) + 7(5 + -5a) = 70 28 + 28a + (5 * 7 + -5a * 7) = 70 28 + 28a + (35 + -35a) = 70 Reorder the terms: 28 + 35 + 28a + -35a = 70 Combine like terms: 28 + 35 = 63 63 + 28a + -35a = 70 Combine like terms: 28a + -35a = -7a 63 + -7a = 70 Solving 63 + -7a = 70 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -7a = 70 + -63 Combine like terms: 63 + -63 = 0 0 + -7a = 70 + -63 -7a = 70 + -63 Combine like terms: 70 + -63 = 7 -7a = 7 Divide each side by '-7'. a = -1 Simplifying a = -1
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