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Simplifying 6a + -19 = 3a + -7 Reorder the terms: -19 + 6a = 3a + -7 Reorder the terms: -19 + 6a = -7 + 3a Solving -19 + 6a = -7 + 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. -19 + 6a + -3a = -7 + 3a + -3a Combine like terms: 6a + -3a = 3a -19 + 3a = -7 + 3a + -3a Combine like terms: 3a + -3a = 0 -19 + 3a = -7 + 0 -19 + 3a = -7 Add '19' to each side of the equation. -19 + 19 + 3a = -7 + 19 Combine like terms: -19 + 19 = 0 0 + 3a = -7 + 19 3a = -7 + 19 Combine like terms: -7 + 19 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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