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Simplifying 2a + -3(a + -5) = 6a + 1 Reorder the terms: 2a + -3(-5 + a) = 6a + 1 2a + (-5 * -3 + a * -3) = 6a + 1 2a + (15 + -3a) = 6a + 1 Reorder the terms: 15 + 2a + -3a = 6a + 1 Combine like terms: 2a + -3a = -1a 15 + -1a = 6a + 1 Reorder the terms: 15 + -1a = 1 + 6a Solving 15 + -1a = 1 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 15 + -1a + -6a = 1 + 6a + -6a Combine like terms: -1a + -6a = -7a 15 + -7a = 1 + 6a + -6a Combine like terms: 6a + -6a = 0 15 + -7a = 1 + 0 15 + -7a = 1 Add '-15' to each side of the equation. 15 + -15 + -7a = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -7a = 1 + -15 -7a = 1 + -15 Combine like terms: 1 + -15 = -14 -7a = -14 Divide each side by '-7'. a = 2 Simplifying a = 2
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