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Simplifying -2(d + -7) + -5(d + 6) = 0 Reorder the terms: -2(-7 + d) + -5(d + 6) = 0 (-7 * -2 + d * -2) + -5(d + 6) = 0 (14 + -2d) + -5(d + 6) = 0 Reorder the terms: 14 + -2d + -5(6 + d) = 0 14 + -2d + (6 * -5 + d * -5) = 0 14 + -2d + (-30 + -5d) = 0 Reorder the terms: 14 + -30 + -2d + -5d = 0 Combine like terms: 14 + -30 = -16 -16 + -2d + -5d = 0 Combine like terms: -2d + -5d = -7d -16 + -7d = 0 Solving -16 + -7d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -7d = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -7d = 0 + 16 -7d = 0 + 16 Combine like terms: 0 + 16 = 16 -7d = 16 Divide each side by '-7'. d = -2.285714286 Simplifying d = -2.285714286
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