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Simplifying 6t + -12 + -1(3t + -3) = -19 Reorder the terms: 6t + -12 + -1(-3 + 3t) = -19 6t + -12 + (-3 * -1 + 3t * -1) = -19 6t + -12 + (3 + -3t) = -19 Reorder the terms: -12 + 3 + 6t + -3t = -19 Combine like terms: -12 + 3 = -9 -9 + 6t + -3t = -19 Combine like terms: 6t + -3t = 3t -9 + 3t = -19 Solving -9 + 3t = -19 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 3t = -19 + 9 Combine like terms: -9 + 9 = 0 0 + 3t = -19 + 9 3t = -19 + 9 Combine like terms: -19 + 9 = -10 3t = -10 Divide each side by '3'. t = -3.333333333 Simplifying t = -3.333333333
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