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Simplifying (d) + (d + 5) + (d + -10) + (2d) + (d + -12) * 0.5 = 111 d + (d + 5) + (d + -10) + (2d) + (d + -12) * 0.5 = 111 Reorder the terms: d + (5 + d) + (d + -10) + (2d) + (d + -12) * 0.5 = 111 Remove parenthesis around (5 + d) d + 5 + d + (d + -10) + (2d) + (d + -12) * 0.5 = 111 Reorder the terms: d + 5 + d + (-10 + d) + (2d) + (d + -12) * 0.5 = 111 Remove parenthesis around (-10 + d) d + 5 + d + -10 + d + (2d) + (d + -12) * 0.5 = 111 Reorder the terms: d + 5 + d + -10 + d + (2d) + (-12 + d) * 0.5 = 111 Reorder the terms for easier multiplication: d + 5 + d + -10 + d + (2d) + 0.5(-12 + d) = 111 d + 5 + d + -10 + d + (2d) + (-12 * 0.5 + d * 0.5) = 111 d + 5 + d + -10 + d + (2d) + (-6 + 0.5d) = 111 Reorder the terms: 5 + -10 + -6 + d + d + d + (2d) + 0.5d = 111 Combine like terms: 5 + -10 = -5 -5 + -6 + d + d + d + (2d) + 0.5d = 111 Combine like terms: -5 + -6 = -11 -11 + d + d + d + (2d) + 0.5d = 111 Combine like terms: d + d = 2d -11 + 2d + d + (2d) + 0.5d = 111 Combine like terms: 2d + d = 3d -11 + 3d + (2d) + 0.5d = 111 Combine like terms: 3d + (2d) = 5d -11 + 5d + 0.5d = 111 Combine like terms: 5d + 0.5d = 5.5d -11 + 5.5d = 111 Solving -11 + 5.5d = 111 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 5.5d = 111 + 11 Combine like terms: -11 + 11 = 0 0 + 5.5d = 111 + 11 5.5d = 111 + 11 Combine like terms: 111 + 11 = 122 5.5d = 122 Divide each side by '5.5'. d = 22.18181818 Simplifying d = 22.18181818
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