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Simplifying -2(5a + 6) + -1a = -2(4 + 5a) + -2 Reorder the terms: -2(6 + 5a) + -1a = -2(4 + 5a) + -2 (6 * -2 + 5a * -2) + -1a = -2(4 + 5a) + -2 (-12 + -10a) + -1a = -2(4 + 5a) + -2 Combine like terms: -10a + -1a = -11a -12 + -11a = -2(4 + 5a) + -2 -12 + -11a = (4 * -2 + 5a * -2) + -2 -12 + -11a = (-8 + -10a) + -2 Reorder the terms: -12 + -11a = -8 + -2 + -10a Combine like terms: -8 + -2 = -10 -12 + -11a = -10 + -10a Solving -12 + -11a = -10 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. -12 + -11a + 10a = -10 + -10a + 10a Combine like terms: -11a + 10a = -1a -12 + -1a = -10 + -10a + 10a Combine like terms: -10a + 10a = 0 -12 + -1a = -10 + 0 -12 + -1a = -10 Add '12' to each side of the equation. -12 + 12 + -1a = -10 + 12 Combine like terms: -12 + 12 = 0 0 + -1a = -10 + 12 -1a = -10 + 12 Combine like terms: -10 + 12 = 2 -1a = 2 Divide each side by '-1'. a = -2 Simplifying a = -2
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