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Simplifying -13d + -9d + -10 = 16 + -2(-20d + 13) Reorder the terms: -10 + -13d + -9d = 16 + -2(-20d + 13) Combine like terms: -13d + -9d = -22d -10 + -22d = 16 + -2(-20d + 13) Reorder the terms: -10 + -22d = 16 + -2(13 + -20d) -10 + -22d = 16 + (13 * -2 + -20d * -2) -10 + -22d = 16 + (-26 + 40d) Combine like terms: 16 + -26 = -10 -10 + -22d = -10 + 40d Add '10' to each side of the equation. -10 + 10 + -22d = -10 + 10 + 40d Combine like terms: -10 + 10 = 0 0 + -22d = -10 + 10 + 40d -22d = -10 + 10 + 40d Combine like terms: -10 + 10 = 0 -22d = 0 + 40d -22d = 40d Solving -22d = 40d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-40d' to each side of the equation. -22d + -40d = 40d + -40d Combine like terms: -22d + -40d = -62d -62d = 40d + -40d Combine like terms: 40d + -40d = 0 -62d = 0 Divide each side by '-62'. d = 0 Simplifying d = 0
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