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Simplifying -13d + -21 = -2(d + 7) + -10 Reorder the terms: -21 + -13d = -2(d + 7) + -10 Reorder the terms: -21 + -13d = -2(7 + d) + -10 -21 + -13d = (7 * -2 + d * -2) + -10 -21 + -13d = (-14 + -2d) + -10 Reorder the terms: -21 + -13d = -14 + -10 + -2d Combine like terms: -14 + -10 = -24 -21 + -13d = -24 + -2d Solving -21 + -13d = -24 + -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 + -13d + 2d = -24 + -2d + 2d Combine like terms: -13d + 2d = -11d -21 + -11d = -24 + -2d + 2d Combine like terms: -2d + 2d = 0 -21 + -11d = -24 + 0 -21 + -11d = -24 Add '21' to each side of the equation. -21 + 21 + -11d = -24 + 21 Combine like terms: -21 + 21 = 0 0 + -11d = -24 + 21 -11d = -24 + 21 Combine like terms: -24 + 21 = -3 -11d = -3 Divide each side by '-11'. d = 0.2727272727 Simplifying d = 0.2727272727
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