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Simplifying -5 + (-15 + 1) = 2(7d + -16) + -1d Combine like terms: -15 + 1 = -14 -5 + (-14) = 2(7d + -16) + -1d -5 + -14 = 2(7d + -16) + -1d Combine like terms: -5 + -14 = -19 -19 = 2(7d + -16) + -1d Reorder the terms: -19 = 2(-16 + 7d) + -1d -19 = (-16 * 2 + 7d * 2) + -1d -19 = (-32 + 14d) + -1d Combine like terms: 14d + -1d = 13d -19 = -32 + 13d Solving -19 = -32 + 13d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13d' to each side of the equation. -19 + -13d = -32 + 13d + -13d Combine like terms: 13d + -13d = 0 -19 + -13d = -32 + 0 -19 + -13d = -32 Add '19' to each side of the equation. -19 + 19 + -13d = -32 + 19 Combine like terms: -19 + 19 = 0 0 + -13d = -32 + 19 -13d = -32 + 19 Combine like terms: -32 + 19 = -13 -13d = -13 Divide each side by '-13'. d = 1 Simplifying d = 1
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