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Simplifying 3(d + -10) + 2(d + -22) = 6 Reorder the terms: 3(-10 + d) + 2(d + -22) = 6 (-10 * 3 + d * 3) + 2(d + -22) = 6 (-30 + 3d) + 2(d + -22) = 6 Reorder the terms: -30 + 3d + 2(-22 + d) = 6 -30 + 3d + (-22 * 2 + d * 2) = 6 -30 + 3d + (-44 + 2d) = 6 Reorder the terms: -30 + -44 + 3d + 2d = 6 Combine like terms: -30 + -44 = -74 -74 + 3d + 2d = 6 Combine like terms: 3d + 2d = 5d -74 + 5d = 6 Solving -74 + 5d = 6 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + 5d = 6 + 74 Combine like terms: -74 + 74 = 0 0 + 5d = 6 + 74 5d = 6 + 74 Combine like terms: 6 + 74 = 80 5d = 80 Divide each side by '5'. d = 16 Simplifying d = 16
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