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Simplifying -6 + -7(2a + 3) = 23 + -2a Reorder the terms: -6 + -7(3 + 2a) = 23 + -2a -6 + (3 * -7 + 2a * -7) = 23 + -2a -6 + (-21 + -14a) = 23 + -2a Combine like terms: -6 + -21 = -27 -27 + -14a = 23 + -2a Solving -27 + -14a = 23 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -27 + -14a + 2a = 23 + -2a + 2a Combine like terms: -14a + 2a = -12a -27 + -12a = 23 + -2a + 2a Combine like terms: -2a + 2a = 0 -27 + -12a = 23 + 0 -27 + -12a = 23 Add '27' to each side of the equation. -27 + 27 + -12a = 23 + 27 Combine like terms: -27 + 27 = 0 0 + -12a = 23 + 27 -12a = 23 + 27 Combine like terms: 23 + 27 = 50 -12a = 50 Divide each side by '-12'. a = -4.166666667 Simplifying a = -4.166666667
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