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Simplifying -6 + -15 = -3(a + -7) Combine like terms: -6 + -15 = -21 -21 = -3(a + -7) Reorder the terms: -21 = -3(-7 + a) -21 = (-7 * -3 + a * -3) -21 = (21 + -3a) Solving -21 = 21 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -21 + 3a = 21 + -3a + 3a Combine like terms: -3a + 3a = 0 -21 + 3a = 21 + 0 -21 + 3a = 21 Add '21' to each side of the equation. -21 + 21 + 3a = 21 + 21 Combine like terms: -21 + 21 = 0 0 + 3a = 21 + 21 3a = 21 + 21 Combine like terms: 21 + 21 = 42 3a = 42 Divide each side by '3'. a = 14 Simplifying a = 14
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