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Simplifying 45t + -18 = 32t + 8 Reorder the terms: -18 + 45t = 32t + 8 Reorder the terms: -18 + 45t = 8 + 32t Solving -18 + 45t = 8 + 32t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-32t' to each side of the equation. -18 + 45t + -32t = 8 + 32t + -32t Combine like terms: 45t + -32t = 13t -18 + 13t = 8 + 32t + -32t Combine like terms: 32t + -32t = 0 -18 + 13t = 8 + 0 -18 + 13t = 8 Add '18' to each side of the equation. -18 + 18 + 13t = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 13t = 8 + 18 13t = 8 + 18 Combine like terms: 8 + 18 = 26 13t = 26 Divide each side by '13'. t = 2 Simplifying t = 2
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