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Simplifying -5(3d + 9) + 3(d + -2) = 0 Reorder the terms: -5(9 + 3d) + 3(d + -2) = 0 (9 * -5 + 3d * -5) + 3(d + -2) = 0 (-45 + -15d) + 3(d + -2) = 0 Reorder the terms: -45 + -15d + 3(-2 + d) = 0 -45 + -15d + (-2 * 3 + d * 3) = 0 -45 + -15d + (-6 + 3d) = 0 Reorder the terms: -45 + -6 + -15d + 3d = 0 Combine like terms: -45 + -6 = -51 -51 + -15d + 3d = 0 Combine like terms: -15d + 3d = -12d -51 + -12d = 0 Solving -51 + -12d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -12d = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -12d = 0 + 51 -12d = 0 + 51 Combine like terms: 0 + 51 = 51 -12d = 51 Divide each side by '-12'. d = -4.25 Simplifying d = -4.25
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