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Simplifying 17t + 8 + -1.62t * 10 = 0.4t * 10 + -0.32 * 10 + 8 Reorder the terms for easier multiplication: 17t + 8 + -1.62 * 10t = 0.4t * 10 + -0.32 * 10 + 8 Multiply -1.62 * 10 17t + 8 + -16.2t = 0.4t * 10 + -0.32 * 10 + 8 Reorder the terms: 8 + 17t + -16.2t = 0.4t * 10 + -0.32 * 10 + 8 Combine like terms: 17t + -16.2t = 0.8t 8 + 0.8t = 0.4t * 10 + -0.32 * 10 + 8 Reorder the terms for easier multiplication: 8 + 0.8t = 0.4 * 10t + -0.32 * 10 + 8 Multiply 0.4 * 10 8 + 0.8t = 4t + -0.32 * 10 + 8 Multiply -0.32 * 10 8 + 0.8t = 4t + -3.2 + 8 Reorder the terms: 8 + 0.8t = -3.2 + 8 + 4t Combine like terms: -3.2 + 8 = 4.8 8 + 0.8t = 4.8 + 4t Solving 8 + 0.8t = 4.8 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 8 + 0.8t + -4t = 4.8 + 4t + -4t Combine like terms: 0.8t + -4t = -3.2t 8 + -3.2t = 4.8 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + -3.2t = 4.8 + 0 8 + -3.2t = 4.8 Add '-8' to each side of the equation. 8 + -8 + -3.2t = 4.8 + -8 Combine like terms: 8 + -8 = 0 0 + -3.2t = 4.8 + -8 -3.2t = 4.8 + -8 Combine like terms: 4.8 + -8 = -3.2 -3.2t = -3.2 Divide each side by '-3.2'. t = 1 Simplifying t = 1
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