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Simplifying 2a + 4a + -5 = 4a + -1a + -10 Reorder the terms: -5 + 2a + 4a = 4a + -1a + -10 Combine like terms: 2a + 4a = 6a -5 + 6a = 4a + -1a + -10 Reorder the terms: -5 + 6a = -10 + 4a + -1a Combine like terms: 4a + -1a = 3a -5 + 6a = -10 + 3a Solving -5 + 6a = -10 + 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. -5 + 6a + -3a = -10 + 3a + -3a Combine like terms: 6a + -3a = 3a -5 + 3a = -10 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + 3a = -10 + 0 -5 + 3a = -10 Add '5' to each side of the equation. -5 + 5 + 3a = -10 + 5 Combine like terms: -5 + 5 = 0 0 + 3a = -10 + 5 3a = -10 + 5 Combine like terms: -10 + 5 = -5 3a = -5 Divide each side by '3'. a = -1.666666667 Simplifying a = -1.666666667
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