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Simplifying 5(3 + -1t) = 4(2t + -6) (3 * 5 + -1t * 5) = 4(2t + -6) (15 + -5t) = 4(2t + -6) Reorder the terms: 15 + -5t = 4(-6 + 2t) 15 + -5t = (-6 * 4 + 2t * 4) 15 + -5t = (-24 + 8t) Solving 15 + -5t = -24 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 15 + -5t + -8t = -24 + 8t + -8t Combine like terms: -5t + -8t = -13t 15 + -13t = -24 + 8t + -8t Combine like terms: 8t + -8t = 0 15 + -13t = -24 + 0 15 + -13t = -24 Add '-15' to each side of the equation. 15 + -15 + -13t = -24 + -15 Combine like terms: 15 + -15 = 0 0 + -13t = -24 + -15 -13t = -24 + -15 Combine like terms: -24 + -15 = -39 -13t = -39 Divide each side by '-13'. t = 3 Simplifying t = 3
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