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Simplifying 3(t + -1) + 8t = 7t + -9 Reorder the terms: 3(-1 + t) + 8t = 7t + -9 (-1 * 3 + t * 3) + 8t = 7t + -9 (-3 + 3t) + 8t = 7t + -9 Combine like terms: 3t + 8t = 11t -3 + 11t = 7t + -9 Reorder the terms: -3 + 11t = -9 + 7t Solving -3 + 11t = -9 + 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. -3 + 11t + -7t = -9 + 7t + -7t Combine like terms: 11t + -7t = 4t -3 + 4t = -9 + 7t + -7t Combine like terms: 7t + -7t = 0 -3 + 4t = -9 + 0 -3 + 4t = -9 Add '3' to each side of the equation. -3 + 3 + 4t = -9 + 3 Combine like terms: -3 + 3 = 0 0 + 4t = -9 + 3 4t = -9 + 3 Combine like terms: -9 + 3 = -6 4t = -6 Divide each side by '4'. t = -1.5 Simplifying t = -1.5
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