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Simplifying 5(12 + -1d) + d + -1d = 2d + -1d (12 * 5 + -1d * 5) + d + -1d = 2d + -1d (60 + -5d) + d + -1d = 2d + -1d Combine like terms: -5d + d = -4d 60 + -4d + -1d = 2d + -1d Combine like terms: -4d + -1d = -5d 60 + -5d = 2d + -1d Combine like terms: 2d + -1d = 1d 60 + -5d = 1d Solving 60 + -5d = 1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 60 + -5d + -1d = 1d + -1d Combine like terms: -5d + -1d = -6d 60 + -6d = 1d + -1d Combine like terms: 1d + -1d = 0 60 + -6d = 0 Add '-60' to each side of the equation. 60 + -60 + -6d = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -6d = 0 + -60 -6d = 0 + -60 Combine like terms: 0 + -60 = -60 -6d = -60 Divide each side by '-6'. d = 10 Simplifying d = 10
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