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Simplifying 7(2t + 1) + -18 = 13t Reorder the terms: 7(1 + 2t) + -18 = 13t (1 * 7 + 2t * 7) + -18 = 13t (7 + 14t) + -18 = 13t Reorder the terms: 7 + -18 + 14t = 13t Combine like terms: 7 + -18 = -11 -11 + 14t = 13t Solving -11 + 14t = 13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13t' to each side of the equation. -11 + 14t + -13t = 13t + -13t Combine like terms: 14t + -13t = 1t -11 + 1t = 13t + -13t Combine like terms: 13t + -13t = 0 -11 + 1t = 0 Add '11' to each side of the equation. -11 + 11 + 1t = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1t = 0 + 11 1t = 0 + 11 Combine like terms: 0 + 11 = 11 1t = 11 Divide each side by '1'. t = 11 Simplifying t = 11
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