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Simplifying 2a + 4 + -6a + -5 = 4a + 2 Reorder the terms: 4 + -5 + 2a + -6a = 4a + 2 Combine like terms: 4 + -5 = -1 -1 + 2a + -6a = 4a + 2 Combine like terms: 2a + -6a = -4a -1 + -4a = 4a + 2 Reorder the terms: -1 + -4a = 2 + 4a Solving -1 + -4a = 2 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -1 + -4a + -4a = 2 + 4a + -4a Combine like terms: -4a + -4a = -8a -1 + -8a = 2 + 4a + -4a Combine like terms: 4a + -4a = 0 -1 + -8a = 2 + 0 -1 + -8a = 2 Add '1' to each side of the equation. -1 + 1 + -8a = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -8a = 2 + 1 -8a = 2 + 1 Combine like terms: 2 + 1 = 3 -8a = 3 Divide each side by '-8'. a = -0.375 Simplifying a = -0.375
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