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Simplifying 15.4 + -14.2t = -4(3.7t + -4) Reorder the terms: 15.4 + -14.2t = -4(-4 + 3.7t) 15.4 + -14.2t = (-4 * -4 + 3.7t * -4) 15.4 + -14.2t = (16 + -14.8t) Solving 15.4 + -14.2t = 16 + -14.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14.8t' to each side of the equation. 15.4 + -14.2t + 14.8t = 16 + -14.8t + 14.8t Combine like terms: -14.2t + 14.8t = 0.6t 15.4 + 0.6t = 16 + -14.8t + 14.8t Combine like terms: -14.8t + 14.8t = 0.0 15.4 + 0.6t = 16 + 0.0 15.4 + 0.6t = 16 Add '-15.4' to each side of the equation. 15.4 + -15.4 + 0.6t = 16 + -15.4 Combine like terms: 15.4 + -15.4 = 0.0 0.0 + 0.6t = 16 + -15.4 0.6t = 16 + -15.4 Combine like terms: 16 + -15.4 = 0.6 0.6t = 0.6 Divide each side by '0.6'. t = 1 Simplifying t = 1
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