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Simplifying 3(2d + -18) = 11d + -18(d + -3) Reorder the terms: 3(-18 + 2d) = 11d + -18(d + -3) (-18 * 3 + 2d * 3) = 11d + -18(d + -3) (-54 + 6d) = 11d + -18(d + -3) Reorder the terms: -54 + 6d = 11d + -18(-3 + d) -54 + 6d = 11d + (-3 * -18 + d * -18) -54 + 6d = 11d + (54 + -18d) Reorder the terms: -54 + 6d = 54 + 11d + -18d Combine like terms: 11d + -18d = -7d -54 + 6d = 54 + -7d Solving -54 + 6d = 54 + -7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7d' to each side of the equation. -54 + 6d + 7d = 54 + -7d + 7d Combine like terms: 6d + 7d = 13d -54 + 13d = 54 + -7d + 7d Combine like terms: -7d + 7d = 0 -54 + 13d = 54 + 0 -54 + 13d = 54 Add '54' to each side of the equation. -54 + 54 + 13d = 54 + 54 Combine like terms: -54 + 54 = 0 0 + 13d = 54 + 54 13d = 54 + 54 Combine like terms: 54 + 54 = 108 13d = 108 Divide each side by '13'. d = 8.307692308 Simplifying d = 8.307692308
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