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Simplifying 6a + -30 = 3a + 21 Reorder the terms: -30 + 6a = 3a + 21 Reorder the terms: -30 + 6a = 21 + 3a Solving -30 + 6a = 21 + 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. -30 + 6a + -3a = 21 + 3a + -3a Combine like terms: 6a + -3a = 3a -30 + 3a = 21 + 3a + -3a Combine like terms: 3a + -3a = 0 -30 + 3a = 21 + 0 -30 + 3a = 21 Add '30' to each side of the equation. -30 + 30 + 3a = 21 + 30 Combine like terms: -30 + 30 = 0 0 + 3a = 21 + 30 3a = 21 + 30 Combine like terms: 21 + 30 = 51 3a = 51 Divide each side by '3'. a = 17 Simplifying a = 17
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