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Simplifying -66 = 2(8a + -4) + -6(1 + -6a) Reorder the terms: -66 = 2(-4 + 8a) + -6(1 + -6a) -66 = (-4 * 2 + 8a * 2) + -6(1 + -6a) -66 = (-8 + 16a) + -6(1 + -6a) -66 = -8 + 16a + (1 * -6 + -6a * -6) -66 = -8 + 16a + (-6 + 36a) Reorder the terms: -66 = -8 + -6 + 16a + 36a Combine like terms: -8 + -6 = -14 -66 = -14 + 16a + 36a Combine like terms: 16a + 36a = 52a -66 = -14 + 52a Solving -66 = -14 + 52a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-52a' to each side of the equation. -66 + -52a = -14 + 52a + -52a Combine like terms: 52a + -52a = 0 -66 + -52a = -14 + 0 -66 + -52a = -14 Add '66' to each side of the equation. -66 + 66 + -52a = -14 + 66 Combine like terms: -66 + 66 = 0 0 + -52a = -14 + 66 -52a = -14 + 66 Combine like terms: -14 + 66 = 52 -52a = 52 Divide each side by '-52'. a = -1 Simplifying a = -1
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