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Simplifying 0.5(6d + -4) + -4d = -9 Reorder the terms: 0.5(-4 + 6d) + -4d = -9 (-4 * 0.5 + 6d * 0.5) + -4d = -9 (-2 + 3d) + -4d = -9 Combine like terms: 3d + -4d = -1d -2 + -1d = -9 Solving -2 + -1d = -9 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1d = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -1d = -9 + 2 -1d = -9 + 2 Combine like terms: -9 + 2 = -7 -1d = -7 Divide each side by '-1'. d = 7 Simplifying d = 7
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