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Simplifying -15 = 6 + 3(d + 4) Reorder the terms: -15 = 6 + 3(4 + d) -15 = 6 + (4 * 3 + d * 3) -15 = 6 + (12 + 3d) Combine like terms: 6 + 12 = 18 -15 = 18 + 3d Solving -15 = 18 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -15 + -3d = 18 + 3d + -3d Combine like terms: 3d + -3d = 0 -15 + -3d = 18 + 0 -15 + -3d = 18 Add '15' to each side of the equation. -15 + 15 + -3d = 18 + 15 Combine like terms: -15 + 15 = 0 0 + -3d = 18 + 15 -3d = 18 + 15 Combine like terms: 18 + 15 = 33 -3d = 33 Divide each side by '-3'. d = -11 Simplifying d = -11
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