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Simplifying -10 + d + 4 + -5 = 7d + -5 Reorder the terms: -10 + 4 + -5 + d = 7d + -5 Combine like terms: -10 + 4 = -6 -6 + -5 + d = 7d + -5 Combine like terms: -6 + -5 = -11 -11 + d = 7d + -5 Reorder the terms: -11 + d = -5 + 7d Solving -11 + d = -5 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -11 + d + -7d = -5 + 7d + -7d Combine like terms: d + -7d = -6d -11 + -6d = -5 + 7d + -7d Combine like terms: 7d + -7d = 0 -11 + -6d = -5 + 0 -11 + -6d = -5 Add '11' to each side of the equation. -11 + 11 + -6d = -5 + 11 Combine like terms: -11 + 11 = 0 0 + -6d = -5 + 11 -6d = -5 + 11 Combine like terms: -5 + 11 = 6 -6d = 6 Divide each side by '-6'. d = -1 Simplifying d = -1
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