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Simplifying 3a + -20 + 6a + -2 = 8a + -10 + 2a Reorder the terms: -20 + -2 + 3a + 6a = 8a + -10 + 2a Combine like terms: -20 + -2 = -22 -22 + 3a + 6a = 8a + -10 + 2a Combine like terms: 3a + 6a = 9a -22 + 9a = 8a + -10 + 2a Reorder the terms: -22 + 9a = -10 + 8a + 2a Combine like terms: 8a + 2a = 10a -22 + 9a = -10 + 10a Solving -22 + 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. -22 + 9a + -10a = -10 + 10a + -10a Combine like terms: 9a + -10a = -1a -22 + -1a = -10 + 10a + -10a Combine like terms: 10a + -10a = 0 -22 + -1a = -10 + 0 -22 + -1a = -10 Add '22' to each side of the equation. -22 + 22 + -1a = -10 + 22 Combine like terms: -22 + 22 = 0 0 + -1a = -10 + 22 -1a = -10 + 22 Combine like terms: -10 + 22 = 12 -1a = 12 Divide each side by '-1'. a = -12 Simplifying a = -12
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