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Simplifying -4 + 2a + -3 + -5a = 12 + -1a + -14 + 3a Reorder the terms: -4 + -3 + 2a + -5a = 12 + -1a + -14 + 3a Combine like terms: -4 + -3 = -7 -7 + 2a + -5a = 12 + -1a + -14 + 3a Combine like terms: 2a + -5a = -3a -7 + -3a = 12 + -1a + -14 + 3a Reorder the terms: -7 + -3a = 12 + -14 + -1a + 3a Combine like terms: 12 + -14 = -2 -7 + -3a = -2 + -1a + 3a Combine like terms: -1a + 3a = 2a -7 + -3a = -2 + 2a Solving -7 + -3a = -2 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -7 + -3a + -2a = -2 + 2a + -2a Combine like terms: -3a + -2a = -5a -7 + -5a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 -7 + -5a = -2 + 0 -7 + -5a = -2 Add '7' to each side of the equation. -7 + 7 + -5a = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -5a = -2 + 7 -5a = -2 + 7 Combine like terms: -2 + 7 = 5 -5a = 5 Divide each side by '-5'. a = -1 Simplifying a = -1
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