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Simplifying 7a + -4 + 2a = 3a + -22 Reorder the terms: -4 + 7a + 2a = 3a + -22 Combine like terms: 7a + 2a = 9a -4 + 9a = 3a + -22 Reorder the terms: -4 + 9a = -22 + 3a Solving -4 + 9a = -22 + 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. -4 + 9a + -3a = -22 + 3a + -3a Combine like terms: 9a + -3a = 6a -4 + 6a = -22 + 3a + -3a Combine like terms: 3a + -3a = 0 -4 + 6a = -22 + 0 -4 + 6a = -22 Add '4' to each side of the equation. -4 + 4 + 6a = -22 + 4 Combine like terms: -4 + 4 = 0 0 + 6a = -22 + 4 6a = -22 + 4 Combine like terms: -22 + 4 = -18 6a = -18 Divide each side by '6'. a = -3 Simplifying a = -3
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