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Simplifying 2 + -5(6 + d) = 2 + d 2 + (6 * -5 + d * -5) = 2 + d 2 + (-30 + -5d) = 2 + d Combine like terms: 2 + -30 = -28 -28 + -5d = 2 + d Solving -28 + -5d = 2 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -28 + -5d + -1d = 2 + d + -1d Combine like terms: -5d + -1d = -6d -28 + -6d = 2 + d + -1d Combine like terms: d + -1d = 0 -28 + -6d = 2 + 0 -28 + -6d = 2 Add '28' to each side of the equation. -28 + 28 + -6d = 2 + 28 Combine like terms: -28 + 28 = 0 0 + -6d = 2 + 28 -6d = 2 + 28 Combine like terms: 2 + 28 = 30 -6d = 30 Divide each side by '-6'. d = -5 Simplifying d = -5
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