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Simplifying 4d + 5 = -7 + 10d Reorder the terms: 5 + 4d = -7 + 10d Solving 5 + 4d = -7 + 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. 5 + 4d + -10d = -7 + 10d + -10d Combine like terms: 4d + -10d = -6d 5 + -6d = -7 + 10d + -10d Combine like terms: 10d + -10d = 0 5 + -6d = -7 + 0 5 + -6d = -7 Add '-5' to each side of the equation. 5 + -5 + -6d = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -6d = -7 + -5 -6d = -7 + -5 Combine like terms: -7 + -5 = -12 -6d = -12 Divide each side by '-6'. d = 2 Simplifying d = 2
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