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Simplifying -18 + 10d + 1 = 13d + 19 Reorder the terms: -18 + 1 + 10d = 13d + 19 Combine like terms: -18 + 1 = -17 -17 + 10d = 13d + 19 Reorder the terms: -17 + 10d = 19 + 13d Solving -17 + 10d = 19 + 13d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13d' to each side of the equation. -17 + 10d + -13d = 19 + 13d + -13d Combine like terms: 10d + -13d = -3d -17 + -3d = 19 + 13d + -13d Combine like terms: 13d + -13d = 0 -17 + -3d = 19 + 0 -17 + -3d = 19 Add '17' to each side of the equation. -17 + 17 + -3d = 19 + 17 Combine like terms: -17 + 17 = 0 0 + -3d = 19 + 17 -3d = 19 + 17 Combine like terms: 19 + 17 = 36 -3d = 36 Divide each side by '-3'. d = -12 Simplifying d = -12
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