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Simplifying (-6d + 2) + -1(7 + 2d) = 0 Reorder the terms: (2 + -6d) + -1(7 + 2d) = 0 Remove parenthesis around (2 + -6d) 2 + -6d + -1(7 + 2d) = 0 2 + -6d + (7 * -1 + 2d * -1) = 0 2 + -6d + (-7 + -2d) = 0 Reorder the terms: 2 + -7 + -6d + -2d = 0 Combine like terms: 2 + -7 = -5 -5 + -6d + -2d = 0 Combine like terms: -6d + -2d = -8d -5 + -8d = 0 Solving -5 + -8d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8d = 0 + 5 -8d = 0 + 5 Combine like terms: 0 + 5 = 5 -8d = 5 Divide each side by '-8'. d = -0.625 Simplifying d = -0.625
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