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Simplifying 7d + d + -4a + -7 = 5d Reorder the terms: -7 + -4a + 7d + d = 5d Combine like terms: 7d + d = 8d -7 + -4a + 8d = 5d Solving -7 + -4a + 8d = 5d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -4a + 7 + 8d = 7 + 5d Reorder the terms: -7 + 7 + -4a + 8d = 7 + 5d Combine like terms: -7 + 7 = 0 0 + -4a + 8d = 7 + 5d -4a + 8d = 7 + 5d Add '-8d' to each side of the equation. -4a + 8d + -8d = 7 + 5d + -8d Combine like terms: 8d + -8d = 0 -4a + 0 = 7 + 5d + -8d -4a = 7 + 5d + -8d Combine like terms: 5d + -8d = -3d -4a = 7 + -3d Divide each side by '-4'. a = -1.75 + 0.75d Simplifying a = -1.75 + 0.75d
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