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Simplifying -6 + 4a = 1 + -1(6 + -5a) -6 + 4a = 1 + (6 * -1 + -5a * -1) -6 + 4a = 1 + (-6 + 5a) Combine like terms: 1 + -6 = -5 -6 + 4a = -5 + 5a Solving -6 + 4a = -5 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -6 + 4a + -5a = -5 + 5a + -5a Combine like terms: 4a + -5a = -1a -6 + -1a = -5 + 5a + -5a Combine like terms: 5a + -5a = 0 -6 + -1a = -5 + 0 -6 + -1a = -5 Add '6' to each side of the equation. -6 + 6 + -1a = -5 + 6 Combine like terms: -6 + 6 = 0 0 + -1a = -5 + 6 -1a = -5 + 6 Combine like terms: -5 + 6 = 1 -1a = 1 Divide each side by '-1'. a = -1 Simplifying a = -1
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