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Simplifying (5 + -3d) + -1(8 + 5d) = 5 Remove parenthesis around (5 + -3d) 5 + -3d + -1(8 + 5d) = 5 5 + -3d + (8 * -1 + 5d * -1) = 5 5 + -3d + (-8 + -5d) = 5 Reorder the terms: 5 + -8 + -3d + -5d = 5 Combine like terms: 5 + -8 = -3 -3 + -3d + -5d = 5 Combine like terms: -3d + -5d = -8d -3 + -8d = 5 Solving -3 + -8d = 5 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -8d = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -8d = 5 + 3 -8d = 5 + 3 Combine like terms: 5 + 3 = 8 -8d = 8 Divide each side by '-8'. d = -1 Simplifying d = -1
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