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Simplifying 14 + -3(5t + -12) = 1 + -20 + 1 Reorder the terms: 14 + -3(-12 + 5t) = 1 + -20 + 1 14 + (-12 * -3 + 5t * -3) = 1 + -20 + 1 14 + (36 + -15t) = 1 + -20 + 1 Combine like terms: 14 + 36 = 50 50 + -15t = 1 + -20 + 1 Combine like terms: 1 + -20 = -19 50 + -15t = -19 + 1 Combine like terms: -19 + 1 = -18 50 + -15t = -18 Solving 50 + -15t = -18 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -15t = -18 + -50 Combine like terms: 50 + -50 = 0 0 + -15t = -18 + -50 -15t = -18 + -50 Combine like terms: -18 + -50 = -68 -15t = -68 Divide each side by '-15'. t = 4.533333333 Simplifying t = 4.533333333
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