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Simplifying -5 + (-15d + 1) = 2(1d + -16) + -1d Reorder the terms: -5 + (1 + -15d) = 2(1d + -16) + -1d Remove parenthesis around (1 + -15d) -5 + 1 + -15d = 2(1d + -16) + -1d Combine like terms: -5 + 1 = -4 -4 + -15d = 2(1d + -16) + -1d Reorder the terms: -4 + -15d = 2(-16 + 1d) + -1d -4 + -15d = (-16 * 2 + 1d * 2) + -1d -4 + -15d = (-32 + 2d) + -1d Combine like terms: 2d + -1d = 1d -4 + -15d = -32 + 1d Solving -4 + -15d = -32 + 1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -4 + -15d + -1d = -32 + 1d + -1d Combine like terms: -15d + -1d = -16d -4 + -16d = -32 + 1d + -1d Combine like terms: 1d + -1d = 0 -4 + -16d = -32 + 0 -4 + -16d = -32 Add '4' to each side of the equation. -4 + 4 + -16d = -32 + 4 Combine like terms: -4 + 4 = 0 0 + -16d = -32 + 4 -16d = -32 + 4 Combine like terms: -32 + 4 = -28 -16d = -28 Divide each side by '-16'. d = 1.75 Simplifying d = 1.75
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