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Simplifying 2a + -3(3a + -5) = 7a + 6 Reorder the terms: 2a + -3(-5 + 3a) = 7a + 6 2a + (-5 * -3 + 3a * -3) = 7a + 6 2a + (15 + -9a) = 7a + 6 Reorder the terms: 15 + 2a + -9a = 7a + 6 Combine like terms: 2a + -9a = -7a 15 + -7a = 7a + 6 Reorder the terms: 15 + -7a = 6 + 7a Solving 15 + -7a = 6 + 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. 15 + -7a + -7a = 6 + 7a + -7a Combine like terms: -7a + -7a = -14a 15 + -14a = 6 + 7a + -7a Combine like terms: 7a + -7a = 0 15 + -14a = 6 + 0 15 + -14a = 6 Add '-15' to each side of the equation. 15 + -15 + -14a = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -14a = 6 + -15 -14a = 6 + -15 Combine like terms: 6 + -15 = -9 -14a = -9 Divide each side by '-14'. a = 0.6428571429 Simplifying a = 0.6428571429
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