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Simplifying 0.5(4d + 3) + -2.6 = 15d Reorder the terms: 0.5(3 + 4d) + -2.6 = 15d (3 * 0.5 + 4d * 0.5) + -2.6 = 15d (1.5 + 2d) + -2.6 = 15d Reorder the terms: 1.5 + -2.6 + 2d = 15d Combine like terms: 1.5 + -2.6 = -1.1 -1.1 + 2d = 15d Solving -1.1 + 2d = 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. -1.1 + 2d + -15d = 15d + -15d Combine like terms: 2d + -15d = -13d -1.1 + -13d = 15d + -15d Combine like terms: 15d + -15d = 0 -1.1 + -13d = 0 Add '1.1' to each side of the equation. -1.1 + 1.1 + -13d = 0 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + -13d = 0 + 1.1 -13d = 0 + 1.1 Combine like terms: 0 + 1.1 = 1.1 -13d = 1.1 Divide each side by '-13'. d = -0.08461538462 Simplifying d = -0.08461538462
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