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Simplifying 6d + 48 = d + -7 Reorder the terms: 48 + 6d = d + -7 Reorder the terms: 48 + 6d = -7 + d Solving 48 + 6d = -7 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 48 + 6d + -1d = -7 + d + -1d Combine like terms: 6d + -1d = 5d 48 + 5d = -7 + d + -1d Combine like terms: d + -1d = 0 48 + 5d = -7 + 0 48 + 5d = -7 Add '-48' to each side of the equation. 48 + -48 + 5d = -7 + -48 Combine like terms: 48 + -48 = 0 0 + 5d = -7 + -48 5d = -7 + -48 Combine like terms: -7 + -48 = -55 5d = -55 Divide each side by '5'. d = -11 Simplifying d = -11
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