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Simplifying -13.71 + 15.7t + -1.14 = 6.99 + 18.5t Reorder the terms: -13.71 + -1.14 + 15.7t = 6.99 + 18.5t Combine like terms: -13.71 + -1.14 = -14.85 -14.85 + 15.7t = 6.99 + 18.5t Solving -14.85 + 15.7t = 6.99 + 18.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18.5t' to each side of the equation. -14.85 + 15.7t + -18.5t = 6.99 + 18.5t + -18.5t Combine like terms: 15.7t + -18.5t = -2.8t -14.85 + -2.8t = 6.99 + 18.5t + -18.5t Combine like terms: 18.5t + -18.5t = 0.0 -14.85 + -2.8t = 6.99 + 0.0 -14.85 + -2.8t = 6.99 Add '14.85' to each side of the equation. -14.85 + 14.85 + -2.8t = 6.99 + 14.85 Combine like terms: -14.85 + 14.85 = 0.00 0.00 + -2.8t = 6.99 + 14.85 -2.8t = 6.99 + 14.85 Combine like terms: 6.99 + 14.85 = 21.84 -2.8t = 21.84 Divide each side by '-2.8'. t = -7.8 Simplifying t = -7.8
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