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Simplifying 7a + -8a + -10 = 2a + 6 + a Reorder the terms: -10 + 7a + -8a = 2a + 6 + a Combine like terms: 7a + -8a = -1a -10 + -1a = 2a + 6 + a Reorder the terms: -10 + -1a = 6 + 2a + a Combine like terms: 2a + a = 3a -10 + -1a = 6 + 3a Solving -10 + -1a = 6 + 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. -10 + -1a + -3a = 6 + 3a + -3a Combine like terms: -1a + -3a = -4a -10 + -4a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 -10 + -4a = 6 + 0 -10 + -4a = 6 Add '10' to each side of the equation. -10 + 10 + -4a = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -4a = 6 + 10 -4a = 6 + 10 Combine like terms: 6 + 10 = 16 -4a = 16 Divide each side by '-4'. a = -4 Simplifying a = -4
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