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Simplifying 8(9d + -4) + 11 = 14d + -3 Reorder the terms: 8(-4 + 9d) + 11 = 14d + -3 (-4 * 8 + 9d * 8) + 11 = 14d + -3 (-32 + 72d) + 11 = 14d + -3 Reorder the terms: -32 + 11 + 72d = 14d + -3 Combine like terms: -32 + 11 = -21 -21 + 72d = 14d + -3 Reorder the terms: -21 + 72d = -3 + 14d Solving -21 + 72d = -3 + 14d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-14d' to each side of the equation. -21 + 72d + -14d = -3 + 14d + -14d Combine like terms: 72d + -14d = 58d -21 + 58d = -3 + 14d + -14d Combine like terms: 14d + -14d = 0 -21 + 58d = -3 + 0 -21 + 58d = -3 Add '21' to each side of the equation. -21 + 21 + 58d = -3 + 21 Combine like terms: -21 + 21 = 0 0 + 58d = -3 + 21 58d = -3 + 21 Combine like terms: -3 + 21 = 18 58d = 18 Divide each side by '58'. d = 0.3103448276 Simplifying d = 0.3103448276
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