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Simplifying 6(6d + -6) + -4 = 5d + -18 Reorder the terms: 6(-6 + 6d) + -4 = 5d + -18 (-6 * 6 + 6d * 6) + -4 = 5d + -18 (-36 + 36d) + -4 = 5d + -18 Reorder the terms: -36 + -4 + 36d = 5d + -18 Combine like terms: -36 + -4 = -40 -40 + 36d = 5d + -18 Reorder the terms: -40 + 36d = -18 + 5d Solving -40 + 36d = -18 + 5d 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. -40 + 36d + -5d = -18 + 5d + -5d Combine like terms: 36d + -5d = 31d -40 + 31d = -18 + 5d + -5d Combine like terms: 5d + -5d = 0 -40 + 31d = -18 + 0 -40 + 31d = -18 Add '40' to each side of the equation. -40 + 40 + 31d = -18 + 40 Combine like terms: -40 + 40 = 0 0 + 31d = -18 + 40 31d = -18 + 40 Combine like terms: -18 + 40 = 22 31d = 22 Divide each side by '31'. d = 0.7096774194 Simplifying d = 0.7096774194
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