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Simplifying 4(2 + -3t) = 3 + -13t (2 * 4 + -3t * 4) = 3 + -13t (8 + -12t) = 3 + -13t Solving 8 + -12t = 3 + -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. 8 + -12t + 13t = 3 + -13t + 13t Combine like terms: -12t + 13t = 1t 8 + 1t = 3 + -13t + 13t Combine like terms: -13t + 13t = 0 8 + 1t = 3 + 0 8 + 1t = 3 Add '-8' to each side of the equation. 8 + -8 + 1t = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 1t = 3 + -8 1t = 3 + -8 Combine like terms: 3 + -8 = -5 1t = -5 Divide each side by '1'. t = -5 Simplifying t = -5
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