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Simplifying 3(5t + -3) + -1t = 3(3t + -2) Reorder the terms: 3(-3 + 5t) + -1t = 3(3t + -2) (-3 * 3 + 5t * 3) + -1t = 3(3t + -2) (-9 + 15t) + -1t = 3(3t + -2) Combine like terms: 15t + -1t = 14t -9 + 14t = 3(3t + -2) Reorder the terms: -9 + 14t = 3(-2 + 3t) -9 + 14t = (-2 * 3 + 3t * 3) -9 + 14t = (-6 + 9t) Solving -9 + 14t = -6 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -9 + 14t + -9t = -6 + 9t + -9t Combine like terms: 14t + -9t = 5t -9 + 5t = -6 + 9t + -9t Combine like terms: 9t + -9t = 0 -9 + 5t = -6 + 0 -9 + 5t = -6 Add '9' to each side of the equation. -9 + 9 + 5t = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 5t = -6 + 9 5t = -6 + 9 Combine like terms: -6 + 9 = 3 5t = 3 Divide each side by '5'. t = 0.6 Simplifying t = 0.6
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