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Simplifying -3(a + -7) = -15 + -6a Reorder the terms: -3(-7 + a) = -15 + -6a (-7 * -3 + a * -3) = -15 + -6a (21 + -3a) = -15 + -6a Solving 21 + -3a = -15 + -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. 21 + -3a + 6a = -15 + -6a + 6a Combine like terms: -3a + 6a = 3a 21 + 3a = -15 + -6a + 6a Combine like terms: -6a + 6a = 0 21 + 3a = -15 + 0 21 + 3a = -15 Add '-21' to each side of the equation. 21 + -21 + 3a = -15 + -21 Combine like terms: 21 + -21 = 0 0 + 3a = -15 + -21 3a = -15 + -21 Combine like terms: -15 + -21 = -36 3a = -36 Divide each side by '3'. a = -12 Simplifying a = -12
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