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Simplifying 2(d + 11) + 51 = 10d + -95 Reorder the terms: 2(11 + d) + 51 = 10d + -95 (11 * 2 + d * 2) + 51 = 10d + -95 (22 + 2d) + 51 = 10d + -95 Reorder the terms: 22 + 51 + 2d = 10d + -95 Combine like terms: 22 + 51 = 73 73 + 2d = 10d + -95 Reorder the terms: 73 + 2d = -95 + 10d Solving 73 + 2d = -95 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 73 + 2d + -10d = -95 + 10d + -10d Combine like terms: 2d + -10d = -8d 73 + -8d = -95 + 10d + -10d Combine like terms: 10d + -10d = 0 73 + -8d = -95 + 0 73 + -8d = -95 Add '-73' to each side of the equation. 73 + -73 + -8d = -95 + -73 Combine like terms: 73 + -73 = 0 0 + -8d = -95 + -73 -8d = -95 + -73 Combine like terms: -95 + -73 = -168 -8d = -168 Divide each side by '-8'. d = 21 Simplifying d = 21
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