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Simplifying 10 + -1d = -34 + 5d Solving 10 + -1d = -34 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 10 + -1d + -5d = -34 + 5d + -5d Combine like terms: -1d + -5d = -6d 10 + -6d = -34 + 5d + -5d Combine like terms: 5d + -5d = 0 10 + -6d = -34 + 0 10 + -6d = -34 Add '-10' to each side of the equation. 10 + -10 + -6d = -34 + -10 Combine like terms: 10 + -10 = 0 0 + -6d = -34 + -10 -6d = -34 + -10 Combine like terms: -34 + -10 = -44 -6d = -44 Divide each side by '-6'. d = 7.333333333 Simplifying d = 7.333333333
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