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Simplifying 5(d + -2) = 14 + 2d + 21 Reorder the terms: 5(-2 + d) = 14 + 2d + 21 (-2 * 5 + d * 5) = 14 + 2d + 21 (-10 + 5d) = 14 + 2d + 21 Reorder the terms: -10 + 5d = 14 + 21 + 2d Combine like terms: 14 + 21 = 35 -10 + 5d = 35 + 2d Solving -10 + 5d = 35 + 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 + 5d + -2d = 35 + 2d + -2d Combine like terms: 5d + -2d = 3d -10 + 3d = 35 + 2d + -2d Combine like terms: 2d + -2d = 0 -10 + 3d = 35 + 0 -10 + 3d = 35 Add '10' to each side of the equation. -10 + 10 + 3d = 35 + 10 Combine like terms: -10 + 10 = 0 0 + 3d = 35 + 10 3d = 35 + 10 Combine like terms: 35 + 10 = 45 3d = 45 Divide each side by '3'. d = 15 Simplifying d = 15
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