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Simplifying 15 + 6a = -7(-2a + 7) Reorder the terms: 15 + 6a = -7(7 + -2a) 15 + 6a = (7 * -7 + -2a * -7) 15 + 6a = (-49 + 14a) Solving 15 + 6a = -49 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 15 + 6a + -14a = -49 + 14a + -14a Combine like terms: 6a + -14a = -8a 15 + -8a = -49 + 14a + -14a Combine like terms: 14a + -14a = 0 15 + -8a = -49 + 0 15 + -8a = -49 Add '-15' to each side of the equation. 15 + -15 + -8a = -49 + -15 Combine like terms: 15 + -15 = 0 0 + -8a = -49 + -15 -8a = -49 + -15 Combine like terms: -49 + -15 = -64 -8a = -64 Divide each side by '-8'. a = 8 Simplifying a = 8
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