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Simplifying 4a + -2a + -1 + -5a + -6a = 10 + -10a Reorder the terms: -1 + 4a + -2a + -5a + -6a = 10 + -10a Combine like terms: 4a + -2a = 2a -1 + 2a + -5a + -6a = 10 + -10a Combine like terms: 2a + -5a = -3a -1 + -3a + -6a = 10 + -10a Combine like terms: -3a + -6a = -9a -1 + -9a = 10 + -10a Solving -1 + -9a = 10 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. -1 + -9a + 10a = 10 + -10a + 10a Combine like terms: -9a + 10a = 1a -1 + 1a = 10 + -10a + 10a Combine like terms: -10a + 10a = 0 -1 + 1a = 10 + 0 -1 + 1a = 10 Add '1' to each side of the equation. -1 + 1 + 1a = 10 + 1 Combine like terms: -1 + 1 = 0 0 + 1a = 10 + 1 1a = 10 + 1 Combine like terms: 10 + 1 = 11 1a = 11 Divide each side by '1'. a = 11 Simplifying a = 11
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