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Simplifying 3(4d + -7) + -6 = 2d + 2 + -1 Reorder the terms: 3(-7 + 4d) + -6 = 2d + 2 + -1 (-7 * 3 + 4d * 3) + -6 = 2d + 2 + -1 (-21 + 12d) + -6 = 2d + 2 + -1 Reorder the terms: -21 + -6 + 12d = 2d + 2 + -1 Combine like terms: -21 + -6 = -27 -27 + 12d = 2d + 2 + -1 Reorder the terms: -27 + 12d = 2 + -1 + 2d Combine like terms: 2 + -1 = 1 -27 + 12d = 1 + 2d Solving -27 + 12d = 1 + 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. -27 + 12d + -2d = 1 + 2d + -2d Combine like terms: 12d + -2d = 10d -27 + 10d = 1 + 2d + -2d Combine like terms: 2d + -2d = 0 -27 + 10d = 1 + 0 -27 + 10d = 1 Add '27' to each side of the equation. -27 + 27 + 10d = 1 + 27 Combine like terms: -27 + 27 = 0 0 + 10d = 1 + 27 10d = 1 + 27 Combine like terms: 1 + 27 = 28 10d = 28 Divide each side by '10'. d = 2.8 Simplifying d = 2.8
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