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Simplifying 13d + -21 = -3(d + 7) + -10d Reorder the terms: -21 + 13d = -3(d + 7) + -10d Reorder the terms: -21 + 13d = -3(7 + d) + -10d -21 + 13d = (7 * -3 + d * -3) + -10d -21 + 13d = (-21 + -3d) + -10d Combine like terms: -3d + -10d = -13d -21 + 13d = -21 + -13d Add '21' to each side of the equation. -21 + 21 + 13d = -21 + 21 + -13d Combine like terms: -21 + 21 = 0 0 + 13d = -21 + 21 + -13d 13d = -21 + 21 + -13d Combine like terms: -21 + 21 = 0 13d = 0 + -13d 13d = -13d Solving 13d = -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. 13d + 13d = -13d + 13d Combine like terms: 13d + 13d = 26d 26d = -13d + 13d Combine like terms: -13d + 13d = 0 26d = 0 Divide each side by '26'. d = 0 Simplifying d = 0
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