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Simplifying -9 = 6(d + 3) + -2d + 1 Reorder the terms: -9 = 6(3 + d) + -2d + 1 -9 = (3 * 6 + d * 6) + -2d + 1 -9 = (18 + 6d) + -2d + 1 Reorder the terms: -9 = 18 + 1 + 6d + -2d Combine like terms: 18 + 1 = 19 -9 = 19 + 6d + -2d Combine like terms: 6d + -2d = 4d -9 = 19 + 4d Solving -9 = 19 + 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. -9 + -4d = 19 + 4d + -4d Combine like terms: 4d + -4d = 0 -9 + -4d = 19 + 0 -9 + -4d = 19 Add '9' to each side of the equation. -9 + 9 + -4d = 19 + 9 Combine like terms: -9 + 9 = 0 0 + -4d = 19 + 9 -4d = 19 + 9 Combine like terms: 19 + 9 = 28 -4d = 28 Divide each side by '-4'. d = -7 Simplifying d = -7
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