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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 = -7d -21 + -13d = 21 + -7d Solving -21 + -13d = 21 + -7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7d' to each side of the equation. -21 + -13d + 7d = 21 + -7d + 7d Combine like terms: -13d + 7d = -6d -21 + -6d = 21 + -7d + 7d Combine like terms: -7d + 7d = 0 -21 + -6d = 21 + 0 -21 + -6d = 21 Add '21' to each side of the equation. -21 + 21 + -6d = 21 + 21 Combine like terms: -21 + 21 = 0 0 + -6d = 21 + 21 -6d = 21 + 21 Combine like terms: 21 + 21 = 42 -6d = 42 Divide each side by '-6'. d = -7 Simplifying d = -7
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