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Simplifying 6(2 + -3) + (3t + 5) = 0 Combine like terms: 2 + -3 = -1 6(-1) + (3t + 5) = 0 Multiply 6 * -1 -6 + (3t + 5) = 0 Reorder the terms: -6 + (5 + 3t) = 0 Remove parenthesis around (5 + 3t) -6 + 5 + 3t = 0 Combine like terms: -6 + 5 = -1 -1 + 3t = 0 Solving -1 + 3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3t = 0 + 1 3t = 0 + 1 Combine like terms: 0 + 1 = 1 3t = 1 Divide each side by '3'. t = 0.3333333333 Simplifying t = 0.3333333333
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