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Simplifying 12 + 2t = -19 + -19t + -10t Combine like terms: -19t + -10t = -29t 12 + 2t = -19 + -29t Solving 12 + 2t = -19 + -29t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '29t' to each side of the equation. 12 + 2t + 29t = -19 + -29t + 29t Combine like terms: 2t + 29t = 31t 12 + 31t = -19 + -29t + 29t Combine like terms: -29t + 29t = 0 12 + 31t = -19 + 0 12 + 31t = -19 Add '-12' to each side of the equation. 12 + -12 + 31t = -19 + -12 Combine like terms: 12 + -12 = 0 0 + 31t = -19 + -12 31t = -19 + -12 Combine like terms: -19 + -12 = -31 31t = -31 Divide each side by '31'. t = -1 Simplifying t = -1
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