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Simplifying 11(6a + -11) + -8(7 + 10a) = 3 + 5a + -7a Reorder the terms: 11(-11 + 6a) + -8(7 + 10a) = 3 + 5a + -7a (-11 * 11 + 6a * 11) + -8(7 + 10a) = 3 + 5a + -7a (-121 + 66a) + -8(7 + 10a) = 3 + 5a + -7a -121 + 66a + (7 * -8 + 10a * -8) = 3 + 5a + -7a -121 + 66a + (-56 + -80a) = 3 + 5a + -7a Reorder the terms: -121 + -56 + 66a + -80a = 3 + 5a + -7a Combine like terms: -121 + -56 = -177 -177 + 66a + -80a = 3 + 5a + -7a Combine like terms: 66a + -80a = -14a -177 + -14a = 3 + 5a + -7a Combine like terms: 5a + -7a = -2a -177 + -14a = 3 + -2a Solving -177 + -14a = 3 + -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. -177 + -14a + 2a = 3 + -2a + 2a Combine like terms: -14a + 2a = -12a -177 + -12a = 3 + -2a + 2a Combine like terms: -2a + 2a = 0 -177 + -12a = 3 + 0 -177 + -12a = 3 Add '177' to each side of the equation. -177 + 177 + -12a = 3 + 177 Combine like terms: -177 + 177 = 0 0 + -12a = 3 + 177 -12a = 3 + 177 Combine like terms: 3 + 177 = 180 -12a = 180 Divide each side by '-12'. a = -15 Simplifying a = -15
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