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Simplifying 2(a + -4) = 41 + -1(2a + 2) Reorder the terms: 2(-4 + a) = 41 + -1(2a + 2) (-4 * 2 + a * 2) = 41 + -1(2a + 2) (-8 + 2a) = 41 + -1(2a + 2) Reorder the terms: -8 + 2a = 41 + -1(2 + 2a) -8 + 2a = 41 + (2 * -1 + 2a * -1) -8 + 2a = 41 + (-2 + -2a) Combine like terms: 41 + -2 = 39 -8 + 2a = 39 + -2a Solving -8 + 2a = 39 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -8 + 2a + 2a = 39 + -2a + 2a Combine like terms: 2a + 2a = 4a -8 + 4a = 39 + -2a + 2a Combine like terms: -2a + 2a = 0 -8 + 4a = 39 + 0 -8 + 4a = 39 Add '8' to each side of the equation. -8 + 8 + 4a = 39 + 8 Combine like terms: -8 + 8 = 0 0 + 4a = 39 + 8 4a = 39 + 8 Combine like terms: 39 + 8 = 47 4a = 47 Divide each side by '4'. a = 11.75 Simplifying a = 11.75
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