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Simplifying -3 + -1(a + -2) = 7a + 15 Reorder the terms: -3 + -1(-2 + a) = 7a + 15 -3 + (-2 * -1 + a * -1) = 7a + 15 -3 + (2 + -1a) = 7a + 15 Combine like terms: -3 + 2 = -1 -1 + -1a = 7a + 15 Reorder the terms: -1 + -1a = 15 + 7a Solving -1 + -1a = 15 + 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. -1 + -1a + -7a = 15 + 7a + -7a Combine like terms: -1a + -7a = -8a -1 + -8a = 15 + 7a + -7a Combine like terms: 7a + -7a = 0 -1 + -8a = 15 + 0 -1 + -8a = 15 Add '1' to each side of the equation. -1 + 1 + -8a = 15 + 1 Combine like terms: -1 + 1 = 0 0 + -8a = 15 + 1 -8a = 15 + 1 Combine like terms: 15 + 1 = 16 -8a = 16 Divide each side by '-8'. a = -2 Simplifying a = -2
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