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Simplifying 1.5(4d + -2) = d + 5 Reorder the terms: 1.5(-2 + 4d) = d + 5 (-2 * 1.5 + 4d * 1.5) = d + 5 (-3 + 6d) = d + 5 Reorder the terms: -3 + 6d = 5 + d Solving -3 + 6d = 5 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -3 + 6d + -1d = 5 + d + -1d Combine like terms: 6d + -1d = 5d -3 + 5d = 5 + d + -1d Combine like terms: d + -1d = 0 -3 + 5d = 5 + 0 -3 + 5d = 5 Add '3' to each side of the equation. -3 + 3 + 5d = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 5d = 5 + 3 5d = 5 + 3 Combine like terms: 5 + 3 = 8 5d = 8 Divide each side by '5'. d = 1.6 Simplifying d = 1.6
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