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Simplifying 3(d + -7) = (d * 2) + -1 Reorder the terms: 3(-7 + d) = (d * 2) + -1 (-7 * 3 + d * 3) = (d * 2) + -1 (-21 + 3d) = (d * 2) + -1 Reorder the terms for easier multiplication: -21 + 3d = (2d) + -1 Reorder the terms: -21 + 3d = -1 + (2d) Solving -21 + 3d = -1 + (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. -21 + 3d + (-2d) = -1 + (2d) + (-2d) Combine like terms: 3d + (-2d) = 1d -21 + 1d = -1 + (2d) + (-2d) Combine like terms: (2d) + (-2d) = 0 -21 + 1d = -1 + 0 -21 + 1d = -1 Add '21' to each side of the equation. -21 + 21 + 1d = -1 + 21 Combine like terms: -21 + 21 = 0 0 + 1d = -1 + 21 1d = -1 + 21 Combine like terms: -1 + 21 = 20 1d = 20 Divide each side by '1'. d = 20 Simplifying d = 20
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