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Simplifying d + -4(3w + -2) = 2(6 + -1w) + 1 Reorder the terms: d + -4(-2 + 3w) = 2(6 + -1w) + 1 d + (-2 * -4 + 3w * -4) = 2(6 + -1w) + 1 d + (8 + -12w) = 2(6 + -1w) + 1 Reorder the terms: 8 + d + -12w = 2(6 + -1w) + 1 8 + d + -12w = (6 * 2 + -1w * 2) + 1 8 + d + -12w = (12 + -2w) + 1 Reorder the terms: 8 + d + -12w = 12 + 1 + -2w Combine like terms: 12 + 1 = 13 8 + d + -12w = 13 + -2w Solving 8 + d + -12w = 13 + -2w Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + d + -8 + -12w = 13 + -8 + -2w Reorder the terms: 8 + -8 + d + -12w = 13 + -8 + -2w Combine like terms: 8 + -8 = 0 0 + d + -12w = 13 + -8 + -2w d + -12w = 13 + -8 + -2w Combine like terms: 13 + -8 = 5 d + -12w = 5 + -2w Add '12w' to each side of the equation. d + -12w + 12w = 5 + -2w + 12w Combine like terms: -12w + 12w = 0 d + 0 = 5 + -2w + 12w d = 5 + -2w + 12w Combine like terms: -2w + 12w = 10w d = 5 + 10w Simplifying d = 5 + 10w
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