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Simplifying 9(4d + -6) = -33 + d Reorder the terms: 9(-6 + 4d) = -33 + d (-6 * 9 + 4d * 9) = -33 + d (-54 + 36d) = -33 + d Solving -54 + 36d = -33 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -54 + 36d + -1d = -33 + d + -1d Combine like terms: 36d + -1d = 35d -54 + 35d = -33 + d + -1d Combine like terms: d + -1d = 0 -54 + 35d = -33 + 0 -54 + 35d = -33 Add '54' to each side of the equation. -54 + 54 + 35d = -33 + 54 Combine like terms: -54 + 54 = 0 0 + 35d = -33 + 54 35d = -33 + 54 Combine like terms: -33 + 54 = 21 35d = 21 Divide each side by '35'. d = 0.6 Simplifying d = 0.6
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