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Simplifying 4d + -1(2 + 5d) = 7 4d + (2 * -1 + 5d * -1) = 7 4d + (-2 + -5d) = 7 Reorder the terms: -2 + 4d + -5d = 7 Combine like terms: 4d + -5d = -1d -2 + -1d = 7 Solving -2 + -1d = 7 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1d = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -1d = 7 + 2 -1d = 7 + 2 Combine like terms: 7 + 2 = 9 -1d = 9 Divide each side by '-1'. d = -9 Simplifying d = -9
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