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Simplifying (a + 16d) + -1(a + 9d) = 7 Remove parenthesis around (a + 16d) a + 16d + -1(a + 9d) = 7 a + 16d + (a * -1 + 9d * -1) = 7 a + 16d + (-1a + -9d) = 7 Reorder the terms: a + -1a + 16d + -9d = 7 Combine like terms: a + -1a = 0 0 + 16d + -9d = 7 16d + -9d = 7 Combine like terms: 16d + -9d = 7d 7d = 7 Solving 7d = 7 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Divide each side by '7'. d = 1 Simplifying d = 1
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