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Simplifying 15 + -2(a + -4) = 1 Reorder the terms: 15 + -2(-4 + a) = 1 15 + (-4 * -2 + a * -2) = 1 15 + (8 + -2a) = 1 Combine like terms: 15 + 8 = 23 23 + -2a = 1 Solving 23 + -2a = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -2a = 1 + -23 Combine like terms: 23 + -23 = 0 0 + -2a = 1 + -23 -2a = 1 + -23 Combine like terms: 1 + -23 = -22 -2a = -22 Divide each side by '-2'. a = 11 Simplifying a = 11
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