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