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Simplifying a + -6 + 5a = 3a + -21 Reorder the terms: -6 + a + 5a = 3a + -21 Combine like terms: a + 5a = 6a -6 + 6a = 3a + -21 Reorder the terms: -6 + 6a = -21 + 3a Solving -6 + 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. -6 + 6a + -3a = -21 + 3a + -3a Combine like terms: 6a + -3a = 3a -6 + 3a = -21 + 3a + -3a Combine like terms: 3a + -3a = 0 -6 + 3a = -21 + 0 -6 + 3a = -21 Add '6' to each side of the equation. -6 + 6 + 3a = -21 + 6 Combine like terms: -6 + 6 = 0 0 + 3a = -21 + 6 3a = -21 + 6 Combine like terms: -21 + 6 = -15 3a = -15 Divide each side by '3'. a = -5 Simplifying a = -5
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