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Simplifying -31 + 6d = 3(7d + -4) Reorder the terms: -31 + 6d = 3(-4 + 7d) -31 + 6d = (-4 * 3 + 7d * 3) -31 + 6d = (-12 + 21d) Solving -31 + 6d = -12 + 21d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-21d' to each side of the equation. -31 + 6d + -21d = -12 + 21d + -21d Combine like terms: 6d + -21d = -15d -31 + -15d = -12 + 21d + -21d Combine like terms: 21d + -21d = 0 -31 + -15d = -12 + 0 -31 + -15d = -12 Add '31' to each side of the equation. -31 + 31 + -15d = -12 + 31 Combine like terms: -31 + 31 = 0 0 + -15d = -12 + 31 -15d = -12 + 31 Combine like terms: -12 + 31 = 19 -15d = 19 Divide each side by '-15'. d = -1.266666667 Simplifying d = -1.266666667
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