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Simplifying 2[d + -2d + -7 + 2] = 2d + 10 Reorder the terms: 2[-7 + 2 + d + -2d] = 2d + 10 Combine like terms: -7 + 2 = -5 2[-5 + d + -2d] = 2d + 10 Combine like terms: d + -2d = -1d 2[-5 + -1d] = 2d + 10 [-5 * 2 + -1d * 2] = 2d + 10 [-10 + -2d] = 2d + 10 Reorder the terms: -10 + -2d = 10 + 2d Solving -10 + -2d = 10 + 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. -10 + -2d + -2d = 10 + 2d + -2d Combine like terms: -2d + -2d = -4d -10 + -4d = 10 + 2d + -2d Combine like terms: 2d + -2d = 0 -10 + -4d = 10 + 0 -10 + -4d = 10 Add '10' to each side of the equation. -10 + 10 + -4d = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -4d = 10 + 10 -4d = 10 + 10 Combine like terms: 10 + 10 = 20 -4d = 20 Divide each side by '-4'. d = -5 Simplifying d = -5
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