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Simplifying -15 + -1a = -7(a + -3) Reorder the terms: -15 + -1a = -7(-3 + a) -15 + -1a = (-3 * -7 + a * -7) -15 + -1a = (21 + -7a) Solving -15 + -1a = 21 + -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. -15 + -1a + 7a = 21 + -7a + 7a Combine like terms: -1a + 7a = 6a -15 + 6a = 21 + -7a + 7a Combine like terms: -7a + 7a = 0 -15 + 6a = 21 + 0 -15 + 6a = 21 Add '15' to each side of the equation. -15 + 15 + 6a = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 6a = 21 + 15 6a = 21 + 15 Combine like terms: 21 + 15 = 36 6a = 36 Divide each side by '6'. a = 6 Simplifying a = 6
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