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Simplifying 5.6t + 17.65 = 4.1t + -8.9 Reorder the terms: 17.65 + 5.6t = 4.1t + -8.9 Reorder the terms: 17.65 + 5.6t = -8.9 + 4.1t Solving 17.65 + 5.6t = -8.9 + 4.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4.1t' to each side of the equation. 17.65 + 5.6t + -4.1t = -8.9 + 4.1t + -4.1t Combine like terms: 5.6t + -4.1t = 1.5t 17.65 + 1.5t = -8.9 + 4.1t + -4.1t Combine like terms: 4.1t + -4.1t = 0.0 17.65 + 1.5t = -8.9 + 0.0 17.65 + 1.5t = -8.9 Add '-17.65' to each side of the equation. 17.65 + -17.65 + 1.5t = -8.9 + -17.65 Combine like terms: 17.65 + -17.65 = 0.00 0.00 + 1.5t = -8.9 + -17.65 1.5t = -8.9 + -17.65 Combine like terms: -8.9 + -17.65 = -26.55 1.5t = -26.55 Divide each side by '1.5'. t = -17.7 Simplifying t = -17.7
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