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Simplifying 2d + -1(d + 5) = 3(d + 3) Reorder the terms: 2d + -1(5 + d) = 3(d + 3) 2d + (5 * -1 + d * -1) = 3(d + 3) 2d + (-5 + -1d) = 3(d + 3) Reorder the terms: -5 + 2d + -1d = 3(d + 3) Combine like terms: 2d + -1d = 1d -5 + 1d = 3(d + 3) Reorder the terms: -5 + 1d = 3(3 + d) -5 + 1d = (3 * 3 + d * 3) -5 + 1d = (9 + 3d) Solving -5 + 1d = 9 + 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. -5 + 1d + -3d = 9 + 3d + -3d Combine like terms: 1d + -3d = -2d -5 + -2d = 9 + 3d + -3d Combine like terms: 3d + -3d = 0 -5 + -2d = 9 + 0 -5 + -2d = 9 Add '5' to each side of the equation. -5 + 5 + -2d = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -2d = 9 + 5 -2d = 9 + 5 Combine like terms: 9 + 5 = 14 -2d = 14 Divide each side by '-2'. d = -7 Simplifying d = -7
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