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Simplifying 2(5t + -3) + -1t = 3(3 + -2) Reorder the terms: 2(-3 + 5t) + -1t = 3(3 + -2) (-3 * 2 + 5t * 2) + -1t = 3(3 + -2) (-6 + 10t) + -1t = 3(3 + -2) Combine like terms: 10t + -1t = 9t -6 + 9t = 3(3 + -2) Combine like terms: 3 + -2 = 1 -6 + 9t = 3(1) Multiply 3 * 1 -6 + 9t = 3 Solving -6 + 9t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 9t = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 9t = 3 + 6 9t = 3 + 6 Combine like terms: 3 + 6 = 9 9t = 9 Divide each side by '9'. t = 1 Simplifying t = 1
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