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Simplifying -19 = 6(d + 2) + -2d + 1 Reorder the terms: -19 = 6(2 + d) + -2d + 1 -19 = (2 * 6 + d * 6) + -2d + 1 -19 = (12 + 6d) + -2d + 1 Reorder the terms: -19 = 12 + 1 + 6d + -2d Combine like terms: 12 + 1 = 13 -19 = 13 + 6d + -2d Combine like terms: 6d + -2d = 4d -19 = 13 + 4d Solving -19 = 13 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -19 + -4d = 13 + 4d + -4d Combine like terms: 4d + -4d = 0 -19 + -4d = 13 + 0 -19 + -4d = 13 Add '19' to each side of the equation. -19 + 19 + -4d = 13 + 19 Combine like terms: -19 + 19 = 0 0 + -4d = 13 + 19 -4d = 13 + 19 Combine like terms: 13 + 19 = 32 -4d = 32 Divide each side by '-4'. d = -8 Simplifying d = -8
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