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Simplifying 19 + 12t + 19 = 15t + -19 Reorder the terms: 19 + 19 + 12t = 15t + -19 Combine like terms: 19 + 19 = 38 38 + 12t = 15t + -19 Reorder the terms: 38 + 12t = -19 + 15t Solving 38 + 12t = -19 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. 38 + 12t + -15t = -19 + 15t + -15t Combine like terms: 12t + -15t = -3t 38 + -3t = -19 + 15t + -15t Combine like terms: 15t + -15t = 0 38 + -3t = -19 + 0 38 + -3t = -19 Add '-38' to each side of the equation. 38 + -38 + -3t = -19 + -38 Combine like terms: 38 + -38 = 0 0 + -3t = -19 + -38 -3t = -19 + -38 Combine like terms: -19 + -38 = -57 -3t = -57 Divide each side by '-3'. t = 19 Simplifying t = 19
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