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Simplifying 10 + -5d + -7d = -10d + -6 Combine like terms: -5d + -7d = -12d 10 + -12d = -10d + -6 Reorder the terms: 10 + -12d = -6 + -10d Solving 10 + -12d = -6 + -10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10d' to each side of the equation. 10 + -12d + 10d = -6 + -10d + 10d Combine like terms: -12d + 10d = -2d 10 + -2d = -6 + -10d + 10d Combine like terms: -10d + 10d = 0 10 + -2d = -6 + 0 10 + -2d = -6 Add '-10' to each side of the equation. 10 + -10 + -2d = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -2d = -6 + -10 -2d = -6 + -10 Combine like terms: -6 + -10 = -16 -2d = -16 Divide each side by '-2'. d = 8 Simplifying d = 8
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