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Simplifying (6s * 4.5) + 2d = (5s * 4.5) + 5d Reorder the terms for easier multiplication: (6 * 4.5s) + 2d = (5s * 4.5) + 5d Multiply 6 * 4.5 (27s) + 2d = (5s * 4.5) + 5d Reorder the terms: 2d + (27s) = (5s * 4.5) + 5d Reorder the terms for easier multiplication: 2d + (27s) = (5 * 4.5s) + 5d Multiply 5 * 4.5 2d + (27s) = (22.5s) + 5d Reorder the terms: 2d + (27s) = 5d + (22.5s) Solving 2d + (27s) = 5d + (22.5s) Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 2d + -5d + (27s) = 5d + -5d + (22.5s) Combine like terms: 2d + -5d = -3d -3d + (27s) = 5d + -5d + (22.5s) Combine like terms: 5d + -5d = 0 -3d + (27s) = 0 + (22.5s) -3d + (27s) = (22.5s) Add '(-27s)' to each side of the equation. -3d + (27s) + (-27s) = (22.5s) + (-27s) Combine like terms: (27s) + (-27s) = 0 -3d + 0 = (22.5s) + (-27s) -3d = (22.5s) + (-27s) Combine like terms: (22.5s) + (-27s) = -4.5s -3d = -4.5s Divide each side by '-3'. d = 1.5s Simplifying d = 1.5s
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