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Simplifying -6 + -4(a + 1) = 7 + a Reorder the terms: -6 + -4(1 + a) = 7 + a -6 + (1 * -4 + a * -4) = 7 + a -6 + (-4 + -4a) = 7 + a Combine like terms: -6 + -4 = -10 -10 + -4a = 7 + a Solving -10 + -4a = 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. -10 + -4a + -1a = 7 + a + -1a Combine like terms: -4a + -1a = -5a -10 + -5a = 7 + a + -1a Combine like terms: a + -1a = 0 -10 + -5a = 7 + 0 -10 + -5a = 7 Add '10' to each side of the equation. -10 + 10 + -5a = 7 + 10 Combine like terms: -10 + 10 = 0 0 + -5a = 7 + 10 -5a = 7 + 10 Combine like terms: 7 + 10 = 17 -5a = 17 Divide each side by '-5'. a = -3.4 Simplifying a = -3.4
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