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Simplifying 3(t + -2) + 8 = -19 Reorder the terms: 3(-2 + t) + 8 = -19 (-2 * 3 + t * 3) + 8 = -19 (-6 + 3t) + 8 = -19 Reorder the terms: -6 + 8 + 3t = -19 Combine like terms: -6 + 8 = 2 2 + 3t = -19 Solving 2 + 3t = -19 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3t = -19 + -2 Combine like terms: 2 + -2 = 0 0 + 3t = -19 + -2 3t = -19 + -2 Combine like terms: -19 + -2 = -21 3t = -21 Divide each side by '3'. t = -7 Simplifying t = -7
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