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Simplifying 3a + 21 = 5a + -7 Reorder the terms: 21 + 3a = 5a + -7 Reorder the terms: 21 + 3a = -7 + 5a Solving 21 + 3a = -7 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 21 + 3a + -5a = -7 + 5a + -5a Combine like terms: 3a + -5a = -2a 21 + -2a = -7 + 5a + -5a Combine like terms: 5a + -5a = 0 21 + -2a = -7 + 0 21 + -2a = -7 Add '-21' to each side of the equation. 21 + -21 + -2a = -7 + -21 Combine like terms: 21 + -21 = 0 0 + -2a = -7 + -21 -2a = -7 + -21 Combine like terms: -7 + -21 = -28 -2a = -28 Divide each side by '-2'. a = 14 Simplifying a = 14
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