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Simplifying 4(2d + -1) + -1(d + 2) = -15 Reorder the terms: 4(-1 + 2d) + -1(d + 2) = -15 (-1 * 4 + 2d * 4) + -1(d + 2) = -15 (-4 + 8d) + -1(d + 2) = -15 Reorder the terms: -4 + 8d + -1(2 + d) = -15 -4 + 8d + (2 * -1 + d * -1) = -15 -4 + 8d + (-2 + -1d) = -15 Reorder the terms: -4 + -2 + 8d + -1d = -15 Combine like terms: -4 + -2 = -6 -6 + 8d + -1d = -15 Combine like terms: 8d + -1d = 7d -6 + 7d = -15 Solving -6 + 7d = -15 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7d = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 7d = -15 + 6 7d = -15 + 6 Combine like terms: -15 + 6 = -9 7d = -9 Divide each side by '7'. d = -1.285714286 Simplifying d = -1.285714286
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