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Simplifying -5 + (15d + 1) = 2(7d + -16) + -1d Reorder the terms: -5 + (1 + 15d) = 2(7d + -16) + -1d Remove parenthesis around (1 + 15d) -5 + 1 + 15d = 2(7d + -16) + -1d Combine like terms: -5 + 1 = -4 -4 + 15d = 2(7d + -16) + -1d Reorder the terms: -4 + 15d = 2(-16 + 7d) + -1d -4 + 15d = (-16 * 2 + 7d * 2) + -1d -4 + 15d = (-32 + 14d) + -1d Combine like terms: 14d + -1d = 13d -4 + 15d = -32 + 13d Solving -4 + 15d = -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. -4 + 15d + -13d = -32 + 13d + -13d Combine like terms: 15d + -13d = 2d -4 + 2d = -32 + 13d + -13d Combine like terms: 13d + -13d = 0 -4 + 2d = -32 + 0 -4 + 2d = -32 Add '4' to each side of the equation. -4 + 4 + 2d = -32 + 4 Combine like terms: -4 + 4 = 0 0 + 2d = -32 + 4 2d = -32 + 4 Combine like terms: -32 + 4 = -28 2d = -28 Divide each side by '2'. d = -14 Simplifying d = -14
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