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Simplifying -8t + 16 = 7(10 + -8t) Reorder the terms: 16 + -8t = 7(10 + -8t) 16 + -8t = (10 * 7 + -8t * 7) 16 + -8t = (70 + -56t) Solving 16 + -8t = 70 + -56t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '56t' to each side of the equation. 16 + -8t + 56t = 70 + -56t + 56t Combine like terms: -8t + 56t = 48t 16 + 48t = 70 + -56t + 56t Combine like terms: -56t + 56t = 0 16 + 48t = 70 + 0 16 + 48t = 70 Add '-16' to each side of the equation. 16 + -16 + 48t = 70 + -16 Combine like terms: 16 + -16 = 0 0 + 48t = 70 + -16 48t = 70 + -16 Combine like terms: 70 + -16 = 54 48t = 54 Divide each side by '48'. t = 1.125 Simplifying t = 1.125
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