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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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