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Simplifying 6(3d + -5) = 2d + 7 Reorder the terms: 6(-5 + 3d) = 2d + 7 (-5 * 6 + 3d * 6) = 2d + 7 (-30 + 18d) = 2d + 7 Reorder the terms: -30 + 18d = 7 + 2d Solving -30 + 18d = 7 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -30 + 18d + -2d = 7 + 2d + -2d Combine like terms: 18d + -2d = 16d -30 + 16d = 7 + 2d + -2d Combine like terms: 2d + -2d = 0 -30 + 16d = 7 + 0 -30 + 16d = 7 Add '30' to each side of the equation. -30 + 30 + 16d = 7 + 30 Combine like terms: -30 + 30 = 0 0 + 16d = 7 + 30 16d = 7 + 30 Combine like terms: 7 + 30 = 37 16d = 37 Divide each side by '16'. d = 2.3125 Simplifying d = 2.3125
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