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Simplifying 5(-6 + -3d) = 8(3y + -2) (-6 * 5 + -3d * 5) = 8(3y + -2) (-30 + -15d) = 8(3y + -2) Reorder the terms: -30 + -15d = 8(-2 + 3y) -30 + -15d = (-2 * 8 + 3y * 8) -30 + -15d = (-16 + 24y) Solving -30 + -15d = -16 + 24y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -15d = -16 + 30 + 24y Combine like terms: -30 + 30 = 0 0 + -15d = -16 + 30 + 24y -15d = -16 + 30 + 24y Combine like terms: -16 + 30 = 14 -15d = 14 + 24y Divide each side by '-15'. d = -0.9333333333 + -1.6y Simplifying d = -0.9333333333 + -1.6y
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