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Simplifying 14.71 + 5(4.7t + 17.7) = -19.98 + -6.2t + 20t Reorder the terms: 14.71 + 5(17.7 + 4.7t) = -19.98 + -6.2t + 20t 14.71 + (17.7 * 5 + 4.7t * 5) = -19.98 + -6.2t + 20t 14.71 + (88.5 + 23.5t) = -19.98 + -6.2t + 20t Combine like terms: 14.71 + 88.5 = 103.21 103.21 + 23.5t = -19.98 + -6.2t + 20t Combine like terms: -6.2t + 20t = 13.8t 103.21 + 23.5t = -19.98 + 13.8t Solving 103.21 + 23.5t = -19.98 + 13.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13.8t' to each side of the equation. 103.21 + 23.5t + -13.8t = -19.98 + 13.8t + -13.8t Combine like terms: 23.5t + -13.8t = 9.7t 103.21 + 9.7t = -19.98 + 13.8t + -13.8t Combine like terms: 13.8t + -13.8t = 0.0 103.21 + 9.7t = -19.98 + 0.0 103.21 + 9.7t = -19.98 Add '-103.21' to each side of the equation. 103.21 + -103.21 + 9.7t = -19.98 + -103.21 Combine like terms: 103.21 + -103.21 = 0.00 0.00 + 9.7t = -19.98 + -103.21 9.7t = -19.98 + -103.21 Combine like terms: -19.98 + -103.21 = -123.19 9.7t = -123.19 Divide each side by '9.7'. t = -12.7 Simplifying t = -12.7
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