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Simplifying 34 = 24 + -1(3d + 7d) Combine like terms: 3d + 7d = 10d 34 = 24 + -1(10d) Remove parenthesis around (10d) 34 = 24 + -1 * 10d Multiply -1 * 10 34 = 24 + -10d Solving 34 = 24 + -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. 34 + 10d = 24 + -10d + 10d Combine like terms: -10d + 10d = 0 34 + 10d = 24 + 0 34 + 10d = 24 Add '-34' to each side of the equation. 34 + -34 + 10d = 24 + -34 Combine like terms: 34 + -34 = 0 0 + 10d = 24 + -34 10d = 24 + -34 Combine like terms: 24 + -34 = -10 10d = -10 Divide each side by '10'. d = -1 Simplifying d = -1
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