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Simplifying (3d + -7) + -1(d + -2d) = 0 Reorder the terms: (-7 + 3d) + -1(d + -2d) = 0 Remove parenthesis around (-7 + 3d) -7 + 3d + -1(d + -2d) = 0 Combine like terms: d + -2d = -1d -7 + 3d + -1(-1d) = 0 Remove parenthesis around (-1d) -7 + 3d + -1 * -1d = 0 Multiply -1 * -1 -7 + 3d + 1d = 0 Combine like terms: 3d + 1d = 4d -7 + 4d = 0 Solving -7 + 4d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4d = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4d = 0 + 7 4d = 0 + 7 Combine like terms: 0 + 7 = 7 4d = 7 Divide each side by '4'. d = 1.75 Simplifying d = 1.75
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