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Simplifying 5(d + -2) + -1(3d + -1) = 3d + -6 Reorder the terms: 5(-2 + d) + -1(3d + -1) = 3d + -6 (-2 * 5 + d * 5) + -1(3d + -1) = 3d + -6 (-10 + 5d) + -1(3d + -1) = 3d + -6 Reorder the terms: -10 + 5d + -1(-1 + 3d) = 3d + -6 -10 + 5d + (-1 * -1 + 3d * -1) = 3d + -6 -10 + 5d + (1 + -3d) = 3d + -6 Reorder the terms: -10 + 1 + 5d + -3d = 3d + -6 Combine like terms: -10 + 1 = -9 -9 + 5d + -3d = 3d + -6 Combine like terms: 5d + -3d = 2d -9 + 2d = 3d + -6 Reorder the terms: -9 + 2d = -6 + 3d Solving -9 + 2d = -6 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -9 + 2d + -3d = -6 + 3d + -3d Combine like terms: 2d + -3d = -1d -9 + -1d = -6 + 3d + -3d Combine like terms: 3d + -3d = 0 -9 + -1d = -6 + 0 -9 + -1d = -6 Add '9' to each side of the equation. -9 + 9 + -1d = -6 + 9 Combine like terms: -9 + 9 = 0 0 + -1d = -6 + 9 -1d = -6 + 9 Combine like terms: -6 + 9 = 3 -1d = 3 Divide each side by '-1'. d = -3 Simplifying d = -3
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