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Simplifying 3(5a + 7) = 5(2a + -8) + 6 Reorder the terms: 3(7 + 5a) = 5(2a + -8) + 6 (7 * 3 + 5a * 3) = 5(2a + -8) + 6 (21 + 15a) = 5(2a + -8) + 6 Reorder the terms: 21 + 15a = 5(-8 + 2a) + 6 21 + 15a = (-8 * 5 + 2a * 5) + 6 21 + 15a = (-40 + 10a) + 6 Reorder the terms: 21 + 15a = -40 + 6 + 10a Combine like terms: -40 + 6 = -34 21 + 15a = -34 + 10a Solving 21 + 15a = -34 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 21 + 15a + -10a = -34 + 10a + -10a Combine like terms: 15a + -10a = 5a 21 + 5a = -34 + 10a + -10a Combine like terms: 10a + -10a = 0 21 + 5a = -34 + 0 21 + 5a = -34 Add '-21' to each side of the equation. 21 + -21 + 5a = -34 + -21 Combine like terms: 21 + -21 = 0 0 + 5a = -34 + -21 5a = -34 + -21 Combine like terms: -34 + -21 = -55 5a = -55 Divide each side by '5'. a = -11 Simplifying a = -11
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