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Simplifying 16d + -1(4 + -5d) + 10w = -67 16d + (4 * -1 + -5d * -1) + 10w = -67 16d + (-4 + 5d) + 10w = -67 Reorder the terms: -4 + 16d + 5d + 10w = -67 Combine like terms: 16d + 5d = 21d -4 + 21d + 10w = -67 Solving -4 + 21d + 10w = -67 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 21d + 4 + 10w = -67 + 4 Reorder the terms: -4 + 4 + 21d + 10w = -67 + 4 Combine like terms: -4 + 4 = 0 0 + 21d + 10w = -67 + 4 21d + 10w = -67 + 4 Combine like terms: -67 + 4 = -63 21d + 10w = -63 Add '-10w' to each side of the equation. 21d + 10w + -10w = -63 + -10w Combine like terms: 10w + -10w = 0 21d + 0 = -63 + -10w 21d = -63 + -10w Divide each side by '21'. d = -3 + -0.4761904762w Simplifying d = -3 + -0.4761904762w
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