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Simplifying 2(d + -3) + -1(4d + -5) = 6 Reorder the terms: 2(-3 + d) + -1(4d + -5) = 6 (-3 * 2 + d * 2) + -1(4d + -5) = 6 (-6 + 2d) + -1(4d + -5) = 6 Reorder the terms: -6 + 2d + -1(-5 + 4d) = 6 -6 + 2d + (-5 * -1 + 4d * -1) = 6 -6 + 2d + (5 + -4d) = 6 Reorder the terms: -6 + 5 + 2d + -4d = 6 Combine like terms: -6 + 5 = -1 -1 + 2d + -4d = 6 Combine like terms: 2d + -4d = -2d -1 + -2d = 6 Solving -1 + -2d = 6 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2d = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -2d = 6 + 1 -2d = 6 + 1 Combine like terms: 6 + 1 = 7 -2d = 7 Divide each side by '-2'. d = -3.5 Simplifying d = -3.5
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