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Simplifying 8(d + -6) + 4.6 = -22 Reorder the terms: 8(-6 + d) + 4.6 = -22 (-6 * 8 + d * 8) + 4.6 = -22 (-48 + 8d) + 4.6 = -22 Reorder the terms: -48 + 4.6 + 8d = -22 Combine like terms: -48 + 4.6 = -43.4 -43.4 + 8d = -22 Solving -43.4 + 8d = -22 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '43.4' to each side of the equation. -43.4 + 43.4 + 8d = -22 + 43.4 Combine like terms: -43.4 + 43.4 = 0.0 0.0 + 8d = -22 + 43.4 8d = -22 + 43.4 Combine like terms: -22 + 43.4 = 21.4 8d = 21.4 Divide each side by '8'. d = 2.675 Simplifying d = 2.675
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