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Simplifying 4 + -4(a + -1) + -11 = (a + 2) * 4 Reorder the terms: 4 + -4(-1 + a) + -11 = (a + 2) * 4 4 + (-1 * -4 + a * -4) + -11 = (a + 2) * 4 4 + (4 + -4a) + -11 = (a + 2) * 4 Reorder the terms: 4 + 4 + -11 + -4a = (a + 2) * 4 Combine like terms: 4 + 4 = 8 8 + -11 + -4a = (a + 2) * 4 Combine like terms: 8 + -11 = -3 -3 + -4a = (a + 2) * 4 Reorder the terms: -3 + -4a = (2 + a) * 4 Reorder the terms for easier multiplication: -3 + -4a = 4(2 + a) -3 + -4a = (2 * 4 + a * 4) -3 + -4a = (8 + 4a) Solving -3 + -4a = 8 + 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. -3 + -4a + -4a = 8 + 4a + -4a Combine like terms: -4a + -4a = -8a -3 + -8a = 8 + 4a + -4a Combine like terms: 4a + -4a = 0 -3 + -8a = 8 + 0 -3 + -8a = 8 Add '3' to each side of the equation. -3 + 3 + -8a = 8 + 3 Combine like terms: -3 + 3 = 0 0 + -8a = 8 + 3 -8a = 8 + 3 Combine like terms: 8 + 3 = 11 -8a = 11 Divide each side by '-8'. a = -1.375 Simplifying a = -1.375
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