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