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Simplifying 2(7d + -10) = -1 + 15d Reorder the terms: 2(-10 + 7d) = -1 + 15d (-10 * 2 + 7d * 2) = -1 + 15d (-20 + 14d) = -1 + 15d Solving -20 + 14d = -1 + 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. -20 + 14d + -15d = -1 + 15d + -15d Combine like terms: 14d + -15d = -1d -20 + -1d = -1 + 15d + -15d Combine like terms: 15d + -15d = 0 -20 + -1d = -1 + 0 -20 + -1d = -1 Add '20' to each side of the equation. -20 + 20 + -1d = -1 + 20 Combine like terms: -20 + 20 = 0 0 + -1d = -1 + 20 -1d = -1 + 20 Combine like terms: -1 + 20 = 19 -1d = 19 Divide each side by '-1'. d = -19 Simplifying d = -19
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