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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 = 11 -21 + -13d = 11 + 3d Solving -21 + -13d = 11 + 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 = 11 + 3d + -3d Combine like terms: -13d + -3d = -16d -21 + -16d = 11 + 3d + -3d Combine like terms: 3d + -3d = 0 -21 + -16d = 11 + 0 -21 + -16d = 11 Add '21' to each side of the equation. -21 + 21 + -16d = 11 + 21 Combine like terms: -21 + 21 = 0 0 + -16d = 11 + 21 -16d = 11 + 21 Combine like terms: 11 + 21 = 32 -16d = 32 Divide each side by '-16'. d = -2 Simplifying d = -2
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