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Simplifying -117 = 7(2a + -3) + -2a Reorder the terms: -117 = 7(-3 + 2a) + -2a -117 = (-3 * 7 + 2a * 7) + -2a -117 = (-21 + 14a) + -2a Combine like terms: 14a + -2a = 12a -117 = -21 + 12a Solving -117 = -21 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -117 + -12a = -21 + 12a + -12a Combine like terms: 12a + -12a = 0 -117 + -12a = -21 + 0 -117 + -12a = -21 Add '117' to each side of the equation. -117 + 117 + -12a = -21 + 117 Combine like terms: -117 + 117 = 0 0 + -12a = -21 + 117 -12a = -21 + 117 Combine like terms: -21 + 117 = 96 -12a = 96 Divide each side by '-12'. a = -8 Simplifying a = -8
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