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Simplifying 7(d + -2) + -2 = 2(d + 2) Reorder the terms: 7(-2 + d) + -2 = 2(d + 2) (-2 * 7 + d * 7) + -2 = 2(d + 2) (-14 + 7d) + -2 = 2(d + 2) Reorder the terms: -14 + -2 + 7d = 2(d + 2) Combine like terms: -14 + -2 = -16 -16 + 7d = 2(d + 2) Reorder the terms: -16 + 7d = 2(2 + d) -16 + 7d = (2 * 2 + d * 2) -16 + 7d = (4 + 2d) Solving -16 + 7d = 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. -16 + 7d + -2d = 4 + 2d + -2d Combine like terms: 7d + -2d = 5d -16 + 5d = 4 + 2d + -2d Combine like terms: 2d + -2d = 0 -16 + 5d = 4 + 0 -16 + 5d = 4 Add '16' to each side of the equation. -16 + 16 + 5d = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 5d = 4 + 16 5d = 4 + 16 Combine like terms: 4 + 16 = 20 5d = 20 Divide each side by '5'. d = 4 Simplifying d = 4
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