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Simplifying 7 + -1(d + -5) + 12 = 5 Reorder the terms: 7 + -1(-5 + d) + 12 = 5 7 + (-5 * -1 + d * -1) + 12 = 5 7 + (5 + -1d) + 12 = 5 Reorder the terms: 7 + 5 + 12 + -1d = 5 Combine like terms: 7 + 5 = 12 12 + 12 + -1d = 5 Combine like terms: 12 + 12 = 24 24 + -1d = 5 Solving 24 + -1d = 5 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1d = 5 + -24 Combine like terms: 24 + -24 = 0 0 + -1d = 5 + -24 -1d = 5 + -24 Combine like terms: 5 + -24 = -19 -1d = -19 Divide each side by '-1'. d = 19 Simplifying d = 19
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