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Simplifying 2a + -3 = 1 + -1(-4 + -3a) Reorder the terms: -3 + 2a = 1 + -1(-4 + -3a) -3 + 2a = 1 + (-4 * -1 + -3a * -1) -3 + 2a = 1 + (4 + 3a) Combine like terms: 1 + 4 = 5 -3 + 2a = 5 + 3a Solving -3 + 2a = 5 + 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. -3 + 2a + -3a = 5 + 3a + -3a Combine like terms: 2a + -3a = -1a -3 + -1a = 5 + 3a + -3a Combine like terms: 3a + -3a = 0 -3 + -1a = 5 + 0 -3 + -1a = 5 Add '3' to each side of the equation. -3 + 3 + -1a = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -1a = 5 + 3 -1a = 5 + 3 Combine like terms: 5 + 3 = 8 -1a = 8 Divide each side by '-1'. a = -8 Simplifying a = -8
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