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Simplifying 71 = 19 + 3(2d + -6) Reorder the terms: 71 = 19 + 3(-6 + 2d) 71 = 19 + (-6 * 3 + 2d * 3) 71 = 19 + (-18 + 6d) Combine like terms: 19 + -18 = 1 71 = 1 + 6d Solving 71 = 1 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 71 + -6d = 1 + 6d + -6d Combine like terms: 6d + -6d = 0 71 + -6d = 1 + 0 71 + -6d = 1 Add '-71' to each side of the equation. 71 + -71 + -6d = 1 + -71 Combine like terms: 71 + -71 = 0 0 + -6d = 1 + -71 -6d = 1 + -71 Combine like terms: 1 + -71 = -70 -6d = -70 Divide each side by '-6'. d = 11.66666667 Simplifying d = 11.66666667
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