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Simplifying 10d + -6 = -2(d + 3) + -10d Reorder the terms: -6 + 10d = -2(d + 3) + -10d Reorder the terms: -6 + 10d = -2(3 + d) + -10d -6 + 10d = (3 * -2 + d * -2) + -10d -6 + 10d = (-6 + -2d) + -10d Combine like terms: -2d + -10d = -12d -6 + 10d = -6 + -12d Add '6' to each side of the equation. -6 + 6 + 10d = -6 + 6 + -12d Combine like terms: -6 + 6 = 0 0 + 10d = -6 + 6 + -12d 10d = -6 + 6 + -12d Combine like terms: -6 + 6 = 0 10d = 0 + -12d 10d = -12d Solving 10d = -12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12d' to each side of the equation. 10d + 12d = -12d + 12d Combine like terms: 10d + 12d = 22d 22d = -12d + 12d Combine like terms: -12d + 12d = 0 22d = 0 Divide each side by '22'. d = 0 Simplifying d = 0
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