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Simplifying (-3d + 4) + -1(-7d + -6) = 0 Reorder the terms: (4 + -3d) + -1(-7d + -6) = 0 Remove parenthesis around (4 + -3d) 4 + -3d + -1(-7d + -6) = 0 Reorder the terms: 4 + -3d + -1(-6 + -7d) = 0 4 + -3d + (-6 * -1 + -7d * -1) = 0 4 + -3d + (6 + 7d) = 0 Reorder the terms: 4 + 6 + -3d + 7d = 0 Combine like terms: 4 + 6 = 10 10 + -3d + 7d = 0 Combine like terms: -3d + 7d = 4d 10 + 4d = 0 Solving 10 + 4d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 4d = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4d = 0 + -10 4d = 0 + -10 Combine like terms: 0 + -10 = -10 4d = -10 Divide each side by '4'. d = -2.5 Simplifying d = -2.5
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