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Simplifying 15 + 27 + -23 = d + -32 Combine like terms: 15 + 27 = 42 42 + -23 = d + -32 Combine like terms: 42 + -23 = 19 19 = d + -32 Reorder the terms: 19 = -32 + d Solving 19 = -32 + 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. 19 + -1d = -32 + d + -1d Combine like terms: d + -1d = 0 19 + -1d = -32 + 0 19 + -1d = -32 Add '-19' to each side of the equation. 19 + -19 + -1d = -32 + -19 Combine like terms: 19 + -19 = 0 0 + -1d = -32 + -19 -1d = -32 + -19 Combine like terms: -32 + -19 = -51 -1d = -51 Divide each side by '-1'. d = 51 Simplifying d = 51
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