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Simplifying 8t + -28 = 5t + -7 Reorder the terms: -28 + 8t = 5t + -7 Reorder the terms: -28 + 8t = -7 + 5t Solving -28 + 8t = -7 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -28 + 8t + -5t = -7 + 5t + -5t Combine like terms: 8t + -5t = 3t -28 + 3t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 -28 + 3t = -7 + 0 -28 + 3t = -7 Add '28' to each side of the equation. -28 + 28 + 3t = -7 + 28 Combine like terms: -28 + 28 = 0 0 + 3t = -7 + 28 3t = -7 + 28 Combine like terms: -7 + 28 = 21 3t = 21 Divide each side by '3'. t = 7 Simplifying t = 7
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