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Simplifying 6(2a + -5) = 7a + 19 Reorder the terms: 6(-5 + 2a) = 7a + 19 (-5 * 6 + 2a * 6) = 7a + 19 (-30 + 12a) = 7a + 19 Reorder the terms: -30 + 12a = 19 + 7a Solving -30 + 12a = 19 + 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. -30 + 12a + -7a = 19 + 7a + -7a Combine like terms: 12a + -7a = 5a -30 + 5a = 19 + 7a + -7a Combine like terms: 7a + -7a = 0 -30 + 5a = 19 + 0 -30 + 5a = 19 Add '30' to each side of the equation. -30 + 30 + 5a = 19 + 30 Combine like terms: -30 + 30 = 0 0 + 5a = 19 + 30 5a = 19 + 30 Combine like terms: 19 + 30 = 49 5a = 49 Divide each side by '5'. a = 9.8 Simplifying a = 9.8
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