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Simplifying 3.4d + -4.1 = 1.5(4d + 6) Reorder the terms: -4.1 + 3.4d = 1.5(4d + 6) Reorder the terms: -4.1 + 3.4d = 1.5(6 + 4d) -4.1 + 3.4d = (6 * 1.5 + 4d * 1.5) -4.1 + 3.4d = (9 + 6d) Solving -4.1 + 3.4d = 9 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. -4.1 + 3.4d + -6d = 9 + 6d + -6d Combine like terms: 3.4d + -6d = -2.6d -4.1 + -2.6d = 9 + 6d + -6d Combine like terms: 6d + -6d = 0 -4.1 + -2.6d = 9 + 0 -4.1 + -2.6d = 9 Add '4.1' to each side of the equation. -4.1 + 4.1 + -2.6d = 9 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + -2.6d = 9 + 4.1 -2.6d = 9 + 4.1 Combine like terms: 9 + 4.1 = 13.1 -2.6d = 13.1 Divide each side by '-2.6'. d = -5.038461538 Simplifying d = -5.038461538
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