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Simplifying -7(9a + 11) + -2(11a + 3) = -10a + 8a Reorder the terms: -7(11 + 9a) + -2(11a + 3) = -10a + 8a (11 * -7 + 9a * -7) + -2(11a + 3) = -10a + 8a (-77 + -63a) + -2(11a + 3) = -10a + 8a Reorder the terms: -77 + -63a + -2(3 + 11a) = -10a + 8a -77 + -63a + (3 * -2 + 11a * -2) = -10a + 8a -77 + -63a + (-6 + -22a) = -10a + 8a Reorder the terms: -77 + -6 + -63a + -22a = -10a + 8a Combine like terms: -77 + -6 = -83 -83 + -63a + -22a = -10a + 8a Combine like terms: -63a + -22a = -85a -83 + -85a = -10a + 8a Combine like terms: -10a + 8a = -2a -83 + -85a = -2a Solving -83 + -85a = -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. -83 + -85a + 2a = -2a + 2a Combine like terms: -85a + 2a = -83a -83 + -83a = -2a + 2a Combine like terms: -2a + 2a = 0 -83 + -83a = 0 Add '83' to each side of the equation. -83 + 83 + -83a = 0 + 83 Combine like terms: -83 + 83 = 0 0 + -83a = 0 + 83 -83a = 0 + 83 Combine like terms: 0 + 83 = 83 -83a = 83 Divide each side by '-83'. a = -1 Simplifying a = -1
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