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Simplifying -7 = 7(5 + 3d) -7 = (5 * 7 + 3d * 7) -7 = (35 + 21d) Solving -7 = 35 + 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. -7 + -21d = 35 + 21d + -21d Combine like terms: 21d + -21d = 0 -7 + -21d = 35 + 0 -7 + -21d = 35 Add '7' to each side of the equation. -7 + 7 + -21d = 35 + 7 Combine like terms: -7 + 7 = 0 0 + -21d = 35 + 7 -21d = 35 + 7 Combine like terms: 35 + 7 = 42 -21d = 42 Divide each side by '-21'. d = -2 Simplifying d = -2
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