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Simplifying -13 + 7a = -6(1 + -1a) + -1 -13 + 7a = (1 * -6 + -1a * -6) + -1 -13 + 7a = (-6 + 6a) + -1 Reorder the terms: -13 + 7a = -6 + -1 + 6a Combine like terms: -6 + -1 = -7 -13 + 7a = -7 + 6a Solving -13 + 7a = -7 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -13 + 7a + -6a = -7 + 6a + -6a Combine like terms: 7a + -6a = 1a -13 + 1a = -7 + 6a + -6a Combine like terms: 6a + -6a = 0 -13 + 1a = -7 + 0 -13 + 1a = -7 Add '13' to each side of the equation. -13 + 13 + 1a = -7 + 13 Combine like terms: -13 + 13 = 0 0 + 1a = -7 + 13 1a = -7 + 13 Combine like terms: -7 + 13 = 6 1a = 6 Divide each side by '1'. a = 6 Simplifying a = 6
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