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Simplifying 8(3 + -6d) + 13 = -155 (3 * 8 + -6d * 8) + 13 = -155 (24 + -48d) + 13 = -155 Reorder the terms: 24 + 13 + -48d = -155 Combine like terms: 24 + 13 = 37 37 + -48d = -155 Solving 37 + -48d = -155 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -48d = -155 + -37 Combine like terms: 37 + -37 = 0 0 + -48d = -155 + -37 -48d = -155 + -37 Combine like terms: -155 + -37 = -192 -48d = -192 Divide each side by '-48'. d = 4 Simplifying d = 4
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