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Simplifying 5(d + -6) + 6(d + -22) = 3 Reorder the terms: 5(-6 + d) + 6(d + -22) = 3 (-6 * 5 + d * 5) + 6(d + -22) = 3 (-30 + 5d) + 6(d + -22) = 3 Reorder the terms: -30 + 5d + 6(-22 + d) = 3 -30 + 5d + (-22 * 6 + d * 6) = 3 -30 + 5d + (-132 + 6d) = 3 Reorder the terms: -30 + -132 + 5d + 6d = 3 Combine like terms: -30 + -132 = -162 -162 + 5d + 6d = 3 Combine like terms: 5d + 6d = 11d -162 + 11d = 3 Solving -162 + 11d = 3 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '162' to each side of the equation. -162 + 162 + 11d = 3 + 162 Combine like terms: -162 + 162 = 0 0 + 11d = 3 + 162 11d = 3 + 162 Combine like terms: 3 + 162 = 165 11d = 165 Divide each side by '11'. d = 15 Simplifying d = 15
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