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Simplifying 4(d + -1) = 2d + 10 Reorder the terms: 4(-1 + d) = 2d + 10 (-1 * 4 + d * 4) = 2d + 10 (-4 + 4d) = 2d + 10 Reorder the terms: -4 + 4d = 10 + 2d Solving -4 + 4d = 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. -4 + 4d + -2d = 10 + 2d + -2d Combine like terms: 4d + -2d = 2d -4 + 2d = 10 + 2d + -2d Combine like terms: 2d + -2d = 0 -4 + 2d = 10 + 0 -4 + 2d = 10 Add '4' to each side of the equation. -4 + 4 + 2d = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 2d = 10 + 4 2d = 10 + 4 Combine like terms: 10 + 4 = 14 2d = 14 Divide each side by '2'. d = 7 Simplifying d = 7
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