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Simplifying (-7d + -6) + -1(-3d + 4) = 0 Reorder the terms: (-6 + -7d) + -1(-3d + 4) = 0 Remove parenthesis around (-6 + -7d) -6 + -7d + -1(-3d + 4) = 0 Reorder the terms: -6 + -7d + -1(4 + -3d) = 0 -6 + -7d + (4 * -1 + -3d * -1) = 0 -6 + -7d + (-4 + 3d) = 0 Reorder the terms: -6 + -4 + -7d + 3d = 0 Combine like terms: -6 + -4 = -10 -10 + -7d + 3d = 0 Combine like terms: -7d + 3d = -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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