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Simplifying 4(d + -6) + 1 = -11 Reorder the terms: 4(-6 + d) + 1 = -11 (-6 * 4 + d * 4) + 1 = -11 (-24 + 4d) + 1 = -11 Reorder the terms: -24 + 1 + 4d = -11 Combine like terms: -24 + 1 = -23 -23 + 4d = -11 Solving -23 + 4d = -11 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 4d = -11 + 23 Combine like terms: -23 + 23 = 0 0 + 4d = -11 + 23 4d = -11 + 23 Combine like terms: -11 + 23 = 12 4d = 12 Divide each side by '4'. d = 3 Simplifying d = 3
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