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Simplifying 2 + -0.6(t + -10) = 0.9(9t + -10) Reorder the terms: 2 + -0.6(-10 + t) = 0.9(9t + -10) 2 + (-10 * -0.6 + t * -0.6) = 0.9(9t + -10) 2 + (6 + -0.6t) = 0.9(9t + -10) Combine like terms: 2 + 6 = 8 8 + -0.6t = 0.9(9t + -10) Reorder the terms: 8 + -0.6t = 0.9(-10 + 9t) 8 + -0.6t = (-10 * 0.9 + 9t * 0.9) 8 + -0.6t = (-9 + 8.1t) Solving 8 + -0.6t = -9 + 8.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8.1t' to each side of the equation. 8 + -0.6t + -8.1t = -9 + 8.1t + -8.1t Combine like terms: -0.6t + -8.1t = -8.7t 8 + -8.7t = -9 + 8.1t + -8.1t Combine like terms: 8.1t + -8.1t = 0.0 8 + -8.7t = -9 + 0.0 8 + -8.7t = -9 Add '-8' to each side of the equation. 8 + -8 + -8.7t = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -8.7t = -9 + -8 -8.7t = -9 + -8 Combine like terms: -9 + -8 = -17 -8.7t = -17 Divide each side by '-8.7'. t = 1.954022989 Simplifying t = 1.954022989
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