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Simplifying 2(-18t + 19) + -12 = -14t + -4 + -20t Reorder the terms: 2(19 + -18t) + -12 = -14t + -4 + -20t (19 * 2 + -18t * 2) + -12 = -14t + -4 + -20t (38 + -36t) + -12 = -14t + -4 + -20t Reorder the terms: 38 + -12 + -36t = -14t + -4 + -20t Combine like terms: 38 + -12 = 26 26 + -36t = -14t + -4 + -20t Reorder the terms: 26 + -36t = -4 + -14t + -20t Combine like terms: -14t + -20t = -34t 26 + -36t = -4 + -34t Solving 26 + -36t = -4 + -34t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '34t' to each side of the equation. 26 + -36t + 34t = -4 + -34t + 34t Combine like terms: -36t + 34t = -2t 26 + -2t = -4 + -34t + 34t Combine like terms: -34t + 34t = 0 26 + -2t = -4 + 0 26 + -2t = -4 Add '-26' to each side of the equation. 26 + -26 + -2t = -4 + -26 Combine like terms: 26 + -26 = 0 0 + -2t = -4 + -26 -2t = -4 + -26 Combine like terms: -4 + -26 = -30 -2t = -30 Divide each side by '-2'. t = 15 Simplifying t = 15
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