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Simplifying -3.79 + -0.9t = 6.7(t + 5.9) Reorder the terms: -3.79 + -0.9t = 6.7(5.9 + t) -3.79 + -0.9t = (5.9 * 6.7 + t * 6.7) -3.79 + -0.9t = (39.53 + 6.7t) Solving -3.79 + -0.9t = 39.53 + 6.7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6.7t' to each side of the equation. -3.79 + -0.9t + -6.7t = 39.53 + 6.7t + -6.7t Combine like terms: -0.9t + -6.7t = -7.6t -3.79 + -7.6t = 39.53 + 6.7t + -6.7t Combine like terms: 6.7t + -6.7t = 0.0 -3.79 + -7.6t = 39.53 + 0.0 -3.79 + -7.6t = 39.53 Add '3.79' to each side of the equation. -3.79 + 3.79 + -7.6t = 39.53 + 3.79 Combine like terms: -3.79 + 3.79 = 0.00 0.00 + -7.6t = 39.53 + 3.79 -7.6t = 39.53 + 3.79 Combine like terms: 39.53 + 3.79 = 43.32 -7.6t = 43.32 Divide each side by '-7.6'. t = -5.7 Simplifying t = -5.7
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