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Simplifying -13 + -21 = -3(d + 7) + -10d Combine like terms: -13 + -21 = -34 -34 = -3(d + 7) + -10d Reorder the terms: -34 = -3(7 + d) + -10d -34 = (7 * -3 + d * -3) + -10d -34 = (-21 + -3d) + -10d Combine like terms: -3d + -10d = -13d -34 = -21 + -13d Solving -34 = -21 + -13d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '13d' to each side of the equation. -34 + 13d = -21 + -13d + 13d Combine like terms: -13d + 13d = 0 -34 + 13d = -21 + 0 -34 + 13d = -21 Add '34' to each side of the equation. -34 + 34 + 13d = -21 + 34 Combine like terms: -34 + 34 = 0 0 + 13d = -21 + 34 13d = -21 + 34 Combine like terms: -21 + 34 = 13 13d = 13 Divide each side by '13'. d = 1 Simplifying d = 1
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