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Simplifying 6a + 10 = 22a + -22 Reorder the terms: 10 + 6a = 22a + -22 Reorder the terms: 10 + 6a = -22 + 22a Solving 10 + 6a = -22 + 22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. 10 + 6a + -22a = -22 + 22a + -22a Combine like terms: 6a + -22a = -16a 10 + -16a = -22 + 22a + -22a Combine like terms: 22a + -22a = 0 10 + -16a = -22 + 0 10 + -16a = -22 Add '-10' to each side of the equation. 10 + -10 + -16a = -22 + -10 Combine like terms: 10 + -10 = 0 0 + -16a = -22 + -10 -16a = -22 + -10 Combine like terms: -22 + -10 = -32 -16a = -32 Divide each side by '-16'. a = 2 Simplifying a = 2
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