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Simplifying 7(2d + -1) = 4d + -37 Reorder the terms: 7(-1 + 2d) = 4d + -37 (-1 * 7 + 2d * 7) = 4d + -37 (-7 + 14d) = 4d + -37 Reorder the terms: -7 + 14d = -37 + 4d Solving -7 + 14d = -37 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -7 + 14d + -4d = -37 + 4d + -4d Combine like terms: 14d + -4d = 10d -7 + 10d = -37 + 4d + -4d Combine like terms: 4d + -4d = 0 -7 + 10d = -37 + 0 -7 + 10d = -37 Add '7' to each side of the equation. -7 + 7 + 10d = -37 + 7 Combine like terms: -7 + 7 = 0 0 + 10d = -37 + 7 10d = -37 + 7 Combine like terms: -37 + 7 = -30 10d = -30 Divide each side by '10'. d = -3 Simplifying d = -3
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