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Simplifying 8(t + -1) + 21t = 7(t + 2) Reorder the terms: 8(-1 + t) + 21t = 7(t + 2) (-1 * 8 + t * 8) + 21t = 7(t + 2) (-8 + 8t) + 21t = 7(t + 2) Combine like terms: 8t + 21t = 29t -8 + 29t = 7(t + 2) Reorder the terms: -8 + 29t = 7(2 + t) -8 + 29t = (2 * 7 + t * 7) -8 + 29t = (14 + 7t) Solving -8 + 29t = 14 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -8 + 29t + -7t = 14 + 7t + -7t Combine like terms: 29t + -7t = 22t -8 + 22t = 14 + 7t + -7t Combine like terms: 7t + -7t = 0 -8 + 22t = 14 + 0 -8 + 22t = 14 Add '8' to each side of the equation. -8 + 8 + 22t = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 22t = 14 + 8 22t = 14 + 8 Combine like terms: 14 + 8 = 22 22t = 22 Divide each side by '22'. t = 1 Simplifying t = 1
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