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Simplifying 3 + -7d + 2d = -2 + -2(1 + -1d) Combine like terms: -7d + 2d = -5d 3 + -5d = -2 + -2(1 + -1d) 3 + -5d = -2 + (1 * -2 + -1d * -2) 3 + -5d = -2 + (-2 + 2d) Combine like terms: -2 + -2 = -4 3 + -5d = -4 + 2d Solving 3 + -5d = -4 + 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. 3 + -5d + -2d = -4 + 2d + -2d Combine like terms: -5d + -2d = -7d 3 + -7d = -4 + 2d + -2d Combine like terms: 2d + -2d = 0 3 + -7d = -4 + 0 3 + -7d = -4 Add '-3' to each side of the equation. 3 + -3 + -7d = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -7d = -4 + -3 -7d = -4 + -3 Combine like terms: -4 + -3 = -7 -7d = -7 Divide each side by '-7'. d = 1 Simplifying d = 1
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