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Simplifying 3a + 22 = 7a + -6 Reorder the terms: 22 + 3a = 7a + -6 Reorder the terms: 22 + 3a = -6 + 7a Solving 22 + 3a = -6 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 22 + 3a + -7a = -6 + 7a + -7a Combine like terms: 3a + -7a = -4a 22 + -4a = -6 + 7a + -7a Combine like terms: 7a + -7a = 0 22 + -4a = -6 + 0 22 + -4a = -6 Add '-22' to each side of the equation. 22 + -22 + -4a = -6 + -22 Combine like terms: 22 + -22 = 0 0 + -4a = -6 + -22 -4a = -6 + -22 Combine like terms: -6 + -22 = -28 -4a = -28 Divide each side by '-4'. a = 7 Simplifying a = 7
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