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Simplifying 49 + -1(a + 6) = 12 + -36 Reorder the terms: 49 + -1(6 + a) = 12 + -36 49 + (6 * -1 + a * -1) = 12 + -36 49 + (-6 + -1a) = 12 + -36 Combine like terms: 49 + -6 = 43 43 + -1a = 12 + -36 Combine like terms: 12 + -36 = -24 43 + -1a = -24 Solving 43 + -1a = -24 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -1a = -24 + -43 Combine like terms: 43 + -43 = 0 0 + -1a = -24 + -43 -1a = -24 + -43 Combine like terms: -24 + -43 = -67 -1a = -67 Divide each side by '-1'. a = 67 Simplifying a = 67
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