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Simplifying -4(a + 1) = a + 11 Reorder the terms: -4(1 + a) = a + 11 (1 * -4 + a * -4) = a + 11 (-4 + -4a) = a + 11 Reorder the terms: -4 + -4a = 11 + a Solving -4 + -4a = 11 + 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. -4 + -4a + -1a = 11 + a + -1a Combine like terms: -4a + -1a = -5a -4 + -5a = 11 + a + -1a Combine like terms: a + -1a = 0 -4 + -5a = 11 + 0 -4 + -5a = 11 Add '4' to each side of the equation. -4 + 4 + -5a = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -5a = 11 + 4 -5a = 11 + 4 Combine like terms: 11 + 4 = 15 -5a = 15 Divide each side by '-5'. a = -3 Simplifying a = -3
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