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Simplifying -6.69 + -1.7d = 3.7(d + 0.33) Reorder the terms: -6.69 + -1.7d = 3.7(0.33 + d) -6.69 + -1.7d = (0.33 * 3.7 + d * 3.7) -6.69 + -1.7d = (1.221 + 3.7d) Solving -6.69 + -1.7d = 1.221 + 3.7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3.7d' to each side of the equation. -6.69 + -1.7d + -3.7d = 1.221 + 3.7d + -3.7d Combine like terms: -1.7d + -3.7d = -5.4d -6.69 + -5.4d = 1.221 + 3.7d + -3.7d Combine like terms: 3.7d + -3.7d = 0.0 -6.69 + -5.4d = 1.221 + 0.0 -6.69 + -5.4d = 1.221 Add '6.69' to each side of the equation. -6.69 + 6.69 + -5.4d = 1.221 + 6.69 Combine like terms: -6.69 + 6.69 = 0.00 0.00 + -5.4d = 1.221 + 6.69 -5.4d = 1.221 + 6.69 Combine like terms: 1.221 + 6.69 = 7.911 -5.4d = 7.911 Divide each side by '-5.4'. d = -1.465 Simplifying d = -1.465
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