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Simplifying -1a + -11a = 2(11a + -11) + 2(a + -7) Combine like terms: -1a + -11a = -12a -12a = 2(11a + -11) + 2(a + -7) Reorder the terms: -12a = 2(-11 + 11a) + 2(a + -7) -12a = (-11 * 2 + 11a * 2) + 2(a + -7) -12a = (-22 + 22a) + 2(a + -7) Reorder the terms: -12a = -22 + 22a + 2(-7 + a) -12a = -22 + 22a + (-7 * 2 + a * 2) -12a = -22 + 22a + (-14 + 2a) Reorder the terms: -12a = -22 + -14 + 22a + 2a Combine like terms: -22 + -14 = -36 -12a = -36 + 22a + 2a Combine like terms: 22a + 2a = 24a -12a = -36 + 24a Solving -12a = -36 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. -12a + -24a = -36 + 24a + -24a Combine like terms: -12a + -24a = -36a -36a = -36 + 24a + -24a Combine like terms: 24a + -24a = 0 -36a = -36 + 0 -36a = -36 Divide each side by '-36'. a = 1 Simplifying a = 1
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