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Simplifying -18 + -9(-6d + 3) = -3(-19d + 19) Reorder the terms: -18 + -9(3 + -6d) = -3(-19d + 19) -18 + (3 * -9 + -6d * -9) = -3(-19d + 19) -18 + (-27 + 54d) = -3(-19d + 19) Combine like terms: -18 + -27 = -45 -45 + 54d = -3(-19d + 19) Reorder the terms: -45 + 54d = -3(19 + -19d) -45 + 54d = (19 * -3 + -19d * -3) -45 + 54d = (-57 + 57d) Solving -45 + 54d = -57 + 57d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-57d' to each side of the equation. -45 + 54d + -57d = -57 + 57d + -57d Combine like terms: 54d + -57d = -3d -45 + -3d = -57 + 57d + -57d Combine like terms: 57d + -57d = 0 -45 + -3d = -57 + 0 -45 + -3d = -57 Add '45' to each side of the equation. -45 + 45 + -3d = -57 + 45 Combine like terms: -45 + 45 = 0 0 + -3d = -57 + 45 -3d = -57 + 45 Combine like terms: -57 + 45 = -12 -3d = -12 Divide each side by '-3'. d = 4 Simplifying d = 4
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