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Simplifying -5(-15d + 1) = 2(7d + -16) + -1d Reorder the terms: -5(1 + -15d) = 2(7d + -16) + -1d (1 * -5 + -15d * -5) = 2(7d + -16) + -1d (-5 + 75d) = 2(7d + -16) + -1d Reorder the terms: -5 + 75d = 2(-16 + 7d) + -1d -5 + 75d = (-16 * 2 + 7d * 2) + -1d -5 + 75d = (-32 + 14d) + -1d Combine like terms: 14d + -1d = 13d -5 + 75d = -32 + 13d Solving -5 + 75d = -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. -5 + 75d + -13d = -32 + 13d + -13d Combine like terms: 75d + -13d = 62d -5 + 62d = -32 + 13d + -13d Combine like terms: 13d + -13d = 0 -5 + 62d = -32 + 0 -5 + 62d = -32 Add '5' to each side of the equation. -5 + 5 + 62d = -32 + 5 Combine like terms: -5 + 5 = 0 0 + 62d = -32 + 5 62d = -32 + 5 Combine like terms: -32 + 5 = -27 62d = -27 Divide each side by '62'. d = -0.435483871 Simplifying d = -0.435483871
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