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Simplifying -114 = -3(3 + 7a) -114 = (3 * -3 + 7a * -3) -114 = (-9 + -21a) Solving -114 = -9 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. -114 + 21a = -9 + -21a + 21a Combine like terms: -21a + 21a = 0 -114 + 21a = -9 + 0 -114 + 21a = -9 Add '114' to each side of the equation. -114 + 114 + 21a = -9 + 114 Combine like terms: -114 + 114 = 0 0 + 21a = -9 + 114 21a = -9 + 114 Combine like terms: -9 + 114 = 105 21a = 105 Divide each side by '21'. a = 5 Simplifying a = 5
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