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Simplifying -2a + 1 = 2(-3a + -4) + -3 Reorder the terms: 1 + -2a = 2(-3a + -4) + -3 Reorder the terms: 1 + -2a = 2(-4 + -3a) + -3 1 + -2a = (-4 * 2 + -3a * 2) + -3 1 + -2a = (-8 + -6a) + -3 Reorder the terms: 1 + -2a = -8 + -3 + -6a Combine like terms: -8 + -3 = -11 1 + -2a = -11 + -6a Solving 1 + -2a = -11 + -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. 1 + -2a + 6a = -11 + -6a + 6a Combine like terms: -2a + 6a = 4a 1 + 4a = -11 + -6a + 6a Combine like terms: -6a + 6a = 0 1 + 4a = -11 + 0 1 + 4a = -11 Add '-1' to each side of the equation. 1 + -1 + 4a = -11 + -1 Combine like terms: 1 + -1 = 0 0 + 4a = -11 + -1 4a = -11 + -1 Combine like terms: -11 + -1 = -12 4a = -12 Divide each side by '4'. a = -3 Simplifying a = -3
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