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Simplifying -32 = -5(3d + 8) Reorder the terms: -32 = -5(8 + 3d) -32 = (8 * -5 + 3d * -5) -32 = (-40 + -15d) Solving -32 = -40 + -15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '15d' to each side of the equation. -32 + 15d = -40 + -15d + 15d Combine like terms: -15d + 15d = 0 -32 + 15d = -40 + 0 -32 + 15d = -40 Add '32' to each side of the equation. -32 + 32 + 15d = -40 + 32 Combine like terms: -32 + 32 = 0 0 + 15d = -40 + 32 15d = -40 + 32 Combine like terms: -40 + 32 = -8 15d = -8 Divide each side by '15'. d = -0.5333333333 Simplifying d = -0.5333333333
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