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Simplifying -7a(-4) + 7(-1a + 1) = 0 Reorder the terms for easier multiplication: -7 * -4a + 7(-1a + 1) = 0 Multiply -7 * -4 28a + 7(-1a + 1) = 0 Reorder the terms: 28a + 7(1 + -1a) = 0 28a + (1 * 7 + -1a * 7) = 0 28a + (7 + -7a) = 0 Reorder the terms: 7 + 28a + -7a = 0 Combine like terms: 28a + -7a = 21a 7 + 21a = 0 Solving 7 + 21a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 21a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 21a = 0 + -7 21a = 0 + -7 Combine like terms: 0 + -7 = -7 21a = -7 Divide each side by '21'. a = -0.3333333333 Simplifying a = -0.3333333333
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