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