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Simplifying -16 + 8d = 2(5d + -7) Reorder the terms: -16 + 8d = 2(-7 + 5d) -16 + 8d = (-7 * 2 + 5d * 2) -16 + 8d = (-14 + 10d) Solving -16 + 8d = -14 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. -16 + 8d + -10d = -14 + 10d + -10d Combine like terms: 8d + -10d = -2d -16 + -2d = -14 + 10d + -10d Combine like terms: 10d + -10d = 0 -16 + -2d = -14 + 0 -16 + -2d = -14 Add '16' to each side of the equation. -16 + 16 + -2d = -14 + 16 Combine like terms: -16 + 16 = 0 0 + -2d = -14 + 16 -2d = -14 + 16 Combine like terms: -14 + 16 = 2 -2d = 2 Divide each side by '-2'. d = -1 Simplifying d = -1
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