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Simplifying 30 + -1(d + -25) = 10 + -6d Reorder the terms: 30 + -1(-25 + d) = 10 + -6d 30 + (-25 * -1 + d * -1) = 10 + -6d 30 + (25 + -1d) = 10 + -6d Combine like terms: 30 + 25 = 55 55 + -1d = 10 + -6d Solving 55 + -1d = 10 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. 55 + -1d + 6d = 10 + -6d + 6d Combine like terms: -1d + 6d = 5d 55 + 5d = 10 + -6d + 6d Combine like terms: -6d + 6d = 0 55 + 5d = 10 + 0 55 + 5d = 10 Add '-55' to each side of the equation. 55 + -55 + 5d = 10 + -55 Combine like terms: 55 + -55 = 0 0 + 5d = 10 + -55 5d = 10 + -55 Combine like terms: 10 + -55 = -45 5d = -45 Divide each side by '5'. d = -9 Simplifying d = -9
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