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Simplifying -15.9t = -6(2.9t + 2.81) + 4.86 Reorder the terms: -15.9t = -6(2.81 + 2.9t) + 4.86 -15.9t = (2.81 * -6 + 2.9t * -6) + 4.86 -15.9t = (-16.86 + -17.4t) + 4.86 Reorder the terms: -15.9t = -16.86 + 4.86 + -17.4t Combine like terms: -16.86 + 4.86 = -12 -15.9t = -12 + -17.4t Solving -15.9t = -12 + -17.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '17.4t' to each side of the equation. -15.9t + 17.4t = -12 + -17.4t + 17.4t Combine like terms: -15.9t + 17.4t = 1.5t 1.5t = -12 + -17.4t + 17.4t Combine like terms: -17.4t + 17.4t = 0.0 1.5t = -12 + 0.0 1.5t = -12 Divide each side by '1.5'. t = -8 Simplifying t = -8
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