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Simplifying 12t + -1 = 15t + -5 Reorder the terms: -1 + 12t = 15t + -5 Reorder the terms: -1 + 12t = -5 + 15t Solving -1 + 12t = -5 + 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. -1 + 12t + -15t = -5 + 15t + -15t Combine like terms: 12t + -15t = -3t -1 + -3t = -5 + 15t + -15t Combine like terms: 15t + -15t = 0 -1 + -3t = -5 + 0 -1 + -3t = -5 Add '1' to each side of the equation. -1 + 1 + -3t = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -3t = -5 + 1 -3t = -5 + 1 Combine like terms: -5 + 1 = -4 -3t = -4 Divide each side by '-3'. t = 1.333333333 Simplifying t = 1.333333333
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