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Simplifying -7(3a + -2) + 4(5a + 5) = 0 Reorder the terms: -7(-2 + 3a) + 4(5a + 5) = 0 (-2 * -7 + 3a * -7) + 4(5a + 5) = 0 (14 + -21a) + 4(5a + 5) = 0 Reorder the terms: 14 + -21a + 4(5 + 5a) = 0 14 + -21a + (5 * 4 + 5a * 4) = 0 14 + -21a + (20 + 20a) = 0 Reorder the terms: 14 + 20 + -21a + 20a = 0 Combine like terms: 14 + 20 = 34 34 + -21a + 20a = 0 Combine like terms: -21a + 20a = -1a 34 + -1a = 0 Solving 34 + -1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -1a = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -1a = 0 + -34 -1a = 0 + -34 Combine like terms: 0 + -34 = -34 -1a = -34 Divide each side by '-1'. a = 34 Simplifying a = 34
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