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Simplifying 5 + -6(a + 2) = 7 + a Reorder the terms: 5 + -6(2 + a) = 7 + a 5 + (2 * -6 + a * -6) = 7 + a 5 + (-12 + -6a) = 7 + a Combine like terms: 5 + -12 = -7 -7 + -6a = 7 + a Solving -7 + -6a = 7 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -7 + -6a + -1a = 7 + a + -1a Combine like terms: -6a + -1a = -7a -7 + -7a = 7 + a + -1a Combine like terms: a + -1a = 0 -7 + -7a = 7 + 0 -7 + -7a = 7 Add '7' to each side of the equation. -7 + 7 + -7a = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -7a = 7 + 7 -7a = 7 + 7 Combine like terms: 7 + 7 = 14 -7a = 14 Divide each side by '-7'. a = -2 Simplifying a = -2
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