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Simplifying -5t + -15d + 1 = 2(7d + -16) + -1d Reorder the terms: 1 + -15d + -5t = 2(7d + -16) + -1d Reorder the terms: 1 + -15d + -5t = 2(-16 + 7d) + -1d 1 + -15d + -5t = (-16 * 2 + 7d * 2) + -1d 1 + -15d + -5t = (-32 + 14d) + -1d Combine like terms: 14d + -1d = 13d 1 + -15d + -5t = -32 + 13d Solving 1 + -15d + -5t = -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. 1 + -15d + -13d + -5t = -32 + 13d + -13d Combine like terms: -15d + -13d = -28d 1 + -28d + -5t = -32 + 13d + -13d Combine like terms: 13d + -13d = 0 1 + -28d + -5t = -32 + 0 1 + -28d + -5t = -32 Add '-1' to each side of the equation. 1 + -28d + -1 + -5t = -32 + -1 Reorder the terms: 1 + -1 + -28d + -5t = -32 + -1 Combine like terms: 1 + -1 = 0 0 + -28d + -5t = -32 + -1 -28d + -5t = -32 + -1 Combine like terms: -32 + -1 = -33 -28d + -5t = -33 Add '5t' to each side of the equation. -28d + -5t + 5t = -33 + 5t Combine like terms: -5t + 5t = 0 -28d + 0 = -33 + 5t -28d = -33 + 5t Divide each side by '-28'. d = 1.178571429 + -0.1785714286t Simplifying d = 1.178571429 + -0.1785714286t
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