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Simplifying 19t + 15.4 = 27(t + -1) Reorder the terms: 15.4 + 19t = 27(t + -1) Reorder the terms: 15.4 + 19t = 27(-1 + t) 15.4 + 19t = (-1 * 27 + t * 27) 15.4 + 19t = (-27 + 27t) Solving 15.4 + 19t = -27 + 27t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-27t' to each side of the equation. 15.4 + 19t + -27t = -27 + 27t + -27t Combine like terms: 19t + -27t = -8t 15.4 + -8t = -27 + 27t + -27t Combine like terms: 27t + -27t = 0 15.4 + -8t = -27 + 0 15.4 + -8t = -27 Add '-15.4' to each side of the equation. 15.4 + -15.4 + -8t = -27 + -15.4 Combine like terms: 15.4 + -15.4 = 0.0 0.0 + -8t = -27 + -15.4 -8t = -27 + -15.4 Combine like terms: -27 + -15.4 = -42.4 -8t = -42.4 Divide each side by '-8'. t = 5.3 Simplifying t = 5.3
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