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Simplifying -6(d + 4) + (-7) = 83 Reorder the terms: -6(4 + d) + (-7) = 83 (4 * -6 + d * -6) + (-7) = 83 (-24 + -6d) + (-7) = 83 -24 + -6d + -7 = 83 Reorder the terms: -24 + -7 + -6d = 83 Combine like terms: -24 + -7 = -31 -31 + -6d = 83 Solving -31 + -6d = 83 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -6d = 83 + 31 Combine like terms: -31 + 31 = 0 0 + -6d = 83 + 31 -6d = 83 + 31 Combine like terms: 83 + 31 = 114 -6d = 114 Divide each side by '-6'. d = -19 Simplifying d = -19
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