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Simplifying -13d + -21 = -3(d + 7) + -10 Reorder the terms: -21 + -13d = -3(d + 7) + -10 Reorder the terms: -21 + -13d = -3(7 + d) + -10 -21 + -13d = (7 * -3 + d * -3) + -10 -21 + -13d = (-21 + -3d) + -10 Reorder the terms: -21 + -13d = -21 + -10 + -3d Combine like terms: -21 + -10 = -31 -21 + -13d = -31 + -3d Solving -21 + -13d = -31 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. -21 + -13d + 3d = -31 + -3d + 3d Combine like terms: -13d + 3d = -10d -21 + -10d = -31 + -3d + 3d Combine like terms: -3d + 3d = 0 -21 + -10d = -31 + 0 -21 + -10d = -31 Add '21' to each side of the equation. -21 + 21 + -10d = -31 + 21 Combine like terms: -21 + 21 = 0 0 + -10d = -31 + 21 -10d = -31 + 21 Combine like terms: -31 + 21 = -10 -10d = -10 Divide each side by '-10'. d = 1 Simplifying d = 1
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