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Simplifying -8a + -7(-1a + 1) = -7 + 3a Reorder the terms: -8a + -7(1 + -1a) = -7 + 3a -8a + (1 * -7 + -1a * -7) = -7 + 3a -8a + (-7 + 7a) = -7 + 3a Reorder the terms: -7 + -8a + 7a = -7 + 3a Combine like terms: -8a + 7a = -1a -7 + -1a = -7 + 3a Add '7' to each side of the equation. -7 + 7 + -1a = -7 + 7 + 3a Combine like terms: -7 + 7 = 0 0 + -1a = -7 + 7 + 3a -1a = -7 + 7 + 3a Combine like terms: -7 + 7 = 0 -1a = 0 + 3a -1a = 3a Solving -1a = 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -1a + -3a = 3a + -3a Combine like terms: -1a + -3a = -4a -4a = 3a + -3a Combine like terms: 3a + -3a = 0 -4a = 0 Divide each side by '-4'. a = 0 Simplifying a = 0
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