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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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