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Simplifying -1(5d + 1) = 2(3d + 3) Reorder the terms: -1(1 + 5d) = 2(3d + 3) (1 * -1 + 5d * -1) = 2(3d + 3) (-1 + -5d) = 2(3d + 3) Reorder the terms: -1 + -5d = 2(3 + 3d) -1 + -5d = (3 * 2 + 3d * 2) -1 + -5d = (6 + 6d) Solving -1 + -5d = 6 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. -1 + -5d + -6d = 6 + 6d + -6d Combine like terms: -5d + -6d = -11d -1 + -11d = 6 + 6d + -6d Combine like terms: 6d + -6d = 0 -1 + -11d = 6 + 0 -1 + -11d = 6 Add '1' to each side of the equation. -1 + 1 + -11d = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -11d = 6 + 1 -11d = 6 + 1 Combine like terms: 6 + 1 = 7 -11d = 7 Divide each side by '-11'. d = -0.6363636364 Simplifying d = -0.6363636364
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