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Simplifying 4(11 + -4a) = -4(a + 1) (11 * 4 + -4a * 4) = -4(a + 1) (44 + -16a) = -4(a + 1) Reorder the terms: 44 + -16a = -4(1 + a) 44 + -16a = (1 * -4 + a * -4) 44 + -16a = (-4 + -4a) Solving 44 + -16a = -4 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 44 + -16a + 4a = -4 + -4a + 4a Combine like terms: -16a + 4a = -12a 44 + -12a = -4 + -4a + 4a Combine like terms: -4a + 4a = 0 44 + -12a = -4 + 0 44 + -12a = -4 Add '-44' to each side of the equation. 44 + -44 + -12a = -4 + -44 Combine like terms: 44 + -44 = 0 0 + -12a = -4 + -44 -12a = -4 + -44 Combine like terms: -4 + -44 = -48 -12a = -48 Divide each side by '-12'. a = 4 Simplifying a = 4
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