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Simplifying 3a + -4 = 4 + -1(6 + -5a) Reorder the terms: -4 + 3a = 4 + -1(6 + -5a) -4 + 3a = 4 + (6 * -1 + -5a * -1) -4 + 3a = 4 + (-6 + 5a) Combine like terms: 4 + -6 = -2 -4 + 3a = -2 + 5a Solving -4 + 3a = -2 + 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. -4 + 3a + -5a = -2 + 5a + -5a Combine like terms: 3a + -5a = -2a -4 + -2a = -2 + 5a + -5a Combine like terms: 5a + -5a = 0 -4 + -2a = -2 + 0 -4 + -2a = -2 Add '4' to each side of the equation. -4 + 4 + -2a = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -2a = -2 + 4 -2a = -2 + 4 Combine like terms: -2 + 4 = 2 -2a = 2 Divide each side by '-2'. a = -1 Simplifying a = -1
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