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Simplifying 3 + -1(d + 7) = 3(2d + 1) Reorder the terms: 3 + -1(7 + d) = 3(2d + 1) 3 + (7 * -1 + d * -1) = 3(2d + 1) 3 + (-7 + -1d) = 3(2d + 1) Combine like terms: 3 + -7 = -4 -4 + -1d = 3(2d + 1) Reorder the terms: -4 + -1d = 3(1 + 2d) -4 + -1d = (1 * 3 + 2d * 3) -4 + -1d = (3 + 6d) Solving -4 + -1d = 3 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. -4 + -1d + -6d = 3 + 6d + -6d Combine like terms: -1d + -6d = -7d -4 + -7d = 3 + 6d + -6d Combine like terms: 6d + -6d = 0 -4 + -7d = 3 + 0 -4 + -7d = 3 Add '4' to each side of the equation. -4 + 4 + -7d = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -7d = 3 + 4 -7d = 3 + 4 Combine like terms: 3 + 4 = 7 -7d = 7 Divide each side by '-7'. d = -1 Simplifying d = -1
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