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Simplifying 5.9(8d + -5) + 13 = 12d + -2 Reorder the terms: 5.9(-5 + 8d) + 13 = 12d + -2 (-5 * 5.9 + 8d * 5.9) + 13 = 12d + -2 (-29.5 + 47.2d) + 13 = 12d + -2 Reorder the terms: -29.5 + 13 + 47.2d = 12d + -2 Combine like terms: -29.5 + 13 = -16.5 -16.5 + 47.2d = 12d + -2 Reorder the terms: -16.5 + 47.2d = -2 + 12d Solving -16.5 + 47.2d = -2 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. -16.5 + 47.2d + -12d = -2 + 12d + -12d Combine like terms: 47.2d + -12d = 35.2d -16.5 + 35.2d = -2 + 12d + -12d Combine like terms: 12d + -12d = 0 -16.5 + 35.2d = -2 + 0 -16.5 + 35.2d = -2 Add '16.5' to each side of the equation. -16.5 + 16.5 + 35.2d = -2 + 16.5 Combine like terms: -16.5 + 16.5 = 0.0 0.0 + 35.2d = -2 + 16.5 35.2d = -2 + 16.5 Combine like terms: -2 + 16.5 = 14.5 35.2d = 14.5 Divide each side by '35.2'. d = 0.4119318182 Simplifying d = 0.4119318182
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