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Simplifying 0.5(4d + 3) + -2.6 = 1.5d Reorder the terms: 0.5(3 + 4d) + -2.6 = 1.5d (3 * 0.5 + 4d * 0.5) + -2.6 = 1.5d (1.5 + 2d) + -2.6 = 1.5d Reorder the terms: 1.5 + -2.6 + 2d = 1.5d Combine like terms: 1.5 + -2.6 = -1.1 -1.1 + 2d = 1.5d Solving -1.1 + 2d = 1.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1.5d' to each side of the equation. -1.1 + 2d + -1.5d = 1.5d + -1.5d Combine like terms: 2d + -1.5d = 0.5d -1.1 + 0.5d = 1.5d + -1.5d Combine like terms: 1.5d + -1.5d = 0.0 -1.1 + 0.5d = 0.0 Add '1.1' to each side of the equation. -1.1 + 1.1 + 0.5d = 0.0 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + 0.5d = 0.0 + 1.1 0.5d = 0.0 + 1.1 Combine like terms: 0.0 + 1.1 = 1.1 0.5d = 1.1 Divide each side by '0.5'. d = 2.2 Simplifying d = 2.2
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