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