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Simplifying a + 56 = -11(1 + 6a) Reorder the terms: 56 + a = -11(1 + 6a) 56 + a = (1 * -11 + 6a * -11) 56 + a = (-11 + -66a) Solving 56 + a = -11 + -66a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '66a' to each side of the equation. 56 + a + 66a = -11 + -66a + 66a Combine like terms: a + 66a = 67a 56 + 67a = -11 + -66a + 66a Combine like terms: -66a + 66a = 0 56 + 67a = -11 + 0 56 + 67a = -11 Add '-56' to each side of the equation. 56 + -56 + 67a = -11 + -56 Combine like terms: 56 + -56 = 0 0 + 67a = -11 + -56 67a = -11 + -56 Combine like terms: -11 + -56 = -67 67a = -67 Divide each side by '67'. a = -1 Simplifying a = -1
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