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Simplifying 6 + -4(d + 3) = 2(d + -1) Reorder the terms: 6 + -4(3 + d) = 2(d + -1) 6 + (3 * -4 + d * -4) = 2(d + -1) 6 + (-12 + -4d) = 2(d + -1) Combine like terms: 6 + -12 = -6 -6 + -4d = 2(d + -1) Reorder the terms: -6 + -4d = 2(-1 + d) -6 + -4d = (-1 * 2 + d * 2) -6 + -4d = (-2 + 2d) Solving -6 + -4d = -2 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -6 + -4d + -2d = -2 + 2d + -2d Combine like terms: -4d + -2d = -6d -6 + -6d = -2 + 2d + -2d Combine like terms: 2d + -2d = 0 -6 + -6d = -2 + 0 -6 + -6d = -2 Add '6' to each side of the equation. -6 + 6 + -6d = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -6d = -2 + 6 -6d = -2 + 6 Combine like terms: -2 + 6 = 4 -6d = 4 Divide each side by '-6'. d = -0.6666666667 Simplifying d = -0.6666666667
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