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Simplifying 12t + 19 + -7 = -18 + 14t Reorder the terms: 19 + -7 + 12t = -18 + 14t Combine like terms: 19 + -7 = 12 12 + 12t = -18 + 14t Solving 12 + 12t = -18 + 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. 12 + 12t + -14t = -18 + 14t + -14t Combine like terms: 12t + -14t = -2t 12 + -2t = -18 + 14t + -14t Combine like terms: 14t + -14t = 0 12 + -2t = -18 + 0 12 + -2t = -18 Add '-12' to each side of the equation. 12 + -12 + -2t = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -2t = -18 + -12 -2t = -18 + -12 Combine like terms: -18 + -12 = -30 -2t = -30 Divide each side by '-2'. t = 15 Simplifying t = 15
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