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Simplifying -11a + -1(6a + -4) = -1(5 + -3a) + 1 Reorder the terms: -11a + -1(-4 + 6a) = -1(5 + -3a) + 1 -11a + (-4 * -1 + 6a * -1) = -1(5 + -3a) + 1 -11a + (4 + -6a) = -1(5 + -3a) + 1 Reorder the terms: 4 + -11a + -6a = -1(5 + -3a) + 1 Combine like terms: -11a + -6a = -17a 4 + -17a = -1(5 + -3a) + 1 4 + -17a = (5 * -1 + -3a * -1) + 1 4 + -17a = (-5 + 3a) + 1 Reorder the terms: 4 + -17a = -5 + 1 + 3a Combine like terms: -5 + 1 = -4 4 + -17a = -4 + 3a Solving 4 + -17a = -4 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 4 + -17a + -3a = -4 + 3a + -3a Combine like terms: -17a + -3a = -20a 4 + -20a = -4 + 3a + -3a Combine like terms: 3a + -3a = 0 4 + -20a = -4 + 0 4 + -20a = -4 Add '-4' to each side of the equation. 4 + -4 + -20a = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -20a = -4 + -4 -20a = -4 + -4 Combine like terms: -4 + -4 = -8 -20a = -8 Divide each side by '-20'. a = 0.4 Simplifying a = 0.4
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