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Simplifying (3d + -7) + -1(5 + -5d) = 0 Reorder the terms: (-7 + 3d) + -1(5 + -5d) = 0 Remove parenthesis around (-7 + 3d) -7 + 3d + -1(5 + -5d) = 0 -7 + 3d + (5 * -1 + -5d * -1) = 0 -7 + 3d + (-5 + 5d) = 0 Reorder the terms: -7 + -5 + 3d + 5d = 0 Combine like terms: -7 + -5 = -12 -12 + 3d + 5d = 0 Combine like terms: 3d + 5d = 8d -12 + 8d = 0 Solving -12 + 8d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8d = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 8d = 0 + 12 8d = 0 + 12 Combine like terms: 0 + 12 = 12 8d = 12 Divide each side by '8'. d = 1.5 Simplifying d = 1.5
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