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Simplifying 7(d + -2) + -2d = 1 Reorder the terms: 7(-2 + d) + -2d = 1 (-2 * 7 + d * 7) + -2d = 1 (-14 + 7d) + -2d = 1 Combine like terms: 7d + -2d = 5d -14 + 5d = 1 Solving -14 + 5d = 1 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 5d = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 5d = 1 + 14 5d = 1 + 14 Combine like terms: 1 + 14 = 15 5d = 15 Divide each side by '5'. d = 3 Simplifying d = 3
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