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Simplifying -6(d + 9) + -2(d + 7) = 0 Reorder the terms: -6(9 + d) + -2(d + 7) = 0 (9 * -6 + d * -6) + -2(d + 7) = 0 (-54 + -6d) + -2(d + 7) = 0 Reorder the terms: -54 + -6d + -2(7 + d) = 0 -54 + -6d + (7 * -2 + d * -2) = 0 -54 + -6d + (-14 + -2d) = 0 Reorder the terms: -54 + -14 + -6d + -2d = 0 Combine like terms: -54 + -14 = -68 -68 + -6d + -2d = 0 Combine like terms: -6d + -2d = -8d -68 + -8d = 0 Solving -68 + -8d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + -8d = 0 + 68 Combine like terms: -68 + 68 = 0 0 + -8d = 0 + 68 -8d = 0 + 68 Combine like terms: 0 + 68 = 68 -8d = 68 Divide each side by '-8'. d = -8.5 Simplifying d = -8.5
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