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Simplifying -5 + (-15d + 1) = (7d + -16) + -1d Reorder the terms: -5 + (1 + -15d) = (7d + -16) + -1d Remove parenthesis around (1 + -15d) -5 + 1 + -15d = (7d + -16) + -1d Combine like terms: -5 + 1 = -4 -4 + -15d = (7d + -16) + -1d Reorder the terms: -4 + -15d = (-16 + 7d) + -1d Remove parenthesis around (-16 + 7d) -4 + -15d = -16 + 7d + -1d Combine like terms: 7d + -1d = 6d -4 + -15d = -16 + 6d Solving -4 + -15d = -16 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. -4 + -15d + -6d = -16 + 6d + -6d Combine like terms: -15d + -6d = -21d -4 + -21d = -16 + 6d + -6d Combine like terms: 6d + -6d = 0 -4 + -21d = -16 + 0 -4 + -21d = -16 Add '4' to each side of the equation. -4 + 4 + -21d = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -21d = -16 + 4 -21d = -16 + 4 Combine like terms: -16 + 4 = -12 -21d = -12 Divide each side by '-21'. d = 0.5714285714 Simplifying d = 0.5714285714
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