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Simplifying 4 + -5a = 1 + -2(3a + -3) Reorder the terms: 4 + -5a = 1 + -2(-3 + 3a) 4 + -5a = 1 + (-3 * -2 + 3a * -2) 4 + -5a = 1 + (6 + -6a) Combine like terms: 1 + 6 = 7 4 + -5a = 7 + -6a Solving 4 + -5a = 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. 4 + -5a + 6a = 7 + -6a + 6a Combine like terms: -5a + 6a = 1a 4 + 1a = 7 + -6a + 6a Combine like terms: -6a + 6a = 0 4 + 1a = 7 + 0 4 + 1a = 7 Add '-4' to each side of the equation. 4 + -4 + 1a = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 1a = 7 + -4 1a = 7 + -4 Combine like terms: 7 + -4 = 3 1a = 3 Divide each side by '1'. a = 3 Simplifying a = 3
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