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Simplifying 5(12 + -1d) + 1d = 2d + -6 (12 * 5 + -1d * 5) + 1d = 2d + -6 (60 + -5d) + 1d = 2d + -6 Combine like terms: -5d + 1d = -4d 60 + -4d = 2d + -6 Reorder the terms: 60 + -4d = -6 + 2d Solving 60 + -4d = -6 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 60 + -4d + -2d = -6 + 2d + -2d Combine like terms: -4d + -2d = -6d 60 + -6d = -6 + 2d + -2d Combine like terms: 2d + -2d = 0 60 + -6d = -6 + 0 60 + -6d = -6 Add '-60' to each side of the equation. 60 + -60 + -6d = -6 + -60 Combine like terms: 60 + -60 = 0 0 + -6d = -6 + -60 -6d = -6 + -60 Combine like terms: -6 + -60 = -66 -6d = -66 Divide each side by '-6'. d = 11 Simplifying d = 11
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