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Simplifying -32 + -3d = -5(8d + -6) Reorder the terms: -32 + -3d = -5(-6 + 8d) -32 + -3d = (-6 * -5 + 8d * -5) -32 + -3d = (30 + -40d) Solving -32 + -3d = 30 + -40d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '40d' to each side of the equation. -32 + -3d + 40d = 30 + -40d + 40d Combine like terms: -3d + 40d = 37d -32 + 37d = 30 + -40d + 40d Combine like terms: -40d + 40d = 0 -32 + 37d = 30 + 0 -32 + 37d = 30 Add '32' to each side of the equation. -32 + 32 + 37d = 30 + 32 Combine like terms: -32 + 32 = 0 0 + 37d = 30 + 32 37d = 30 + 32 Combine like terms: 30 + 32 = 62 37d = 62 Divide each side by '37'. d = 1.675675676 Simplifying d = 1.675675676
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