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Simplifying 1d + (1d * 4 + -12) = (1d * 3) Reorder the terms for easier multiplication: 1d + (1 * 4d + -12) = (1d * 3) Multiply 1 * 4 1d + (4d + -12) = (1d * 3) Reorder the terms: 1d + (-12 + 4d) = (1d * 3) Remove parenthesis around (-12 + 4d) 1d + -12 + 4d = (1d * 3) Reorder the terms: -12 + 1d + 4d = (1d * 3) Combine like terms: 1d + 4d = 5d -12 + 5d = (1d * 3) Reorder the terms for easier multiplication: -12 + 5d = (1 * 3d) Multiply 1 * 3 -12 + 5d = (3d) Solving -12 + 5d = (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. -12 + 5d + (-3d) = (3d) + (-3d) Combine like terms: 5d + (-3d) = 2d -12 + 2d = (3d) + (-3d) Combine like terms: (3d) + (-3d) = 0 -12 + 2d = 0 Add '12' to each side of the equation. -12 + 12 + 2d = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2d = 0 + 12 2d = 0 + 12 Combine like terms: 0 + 12 = 12 2d = 12 Divide each side by '2'. d = 6 Simplifying d = 6
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