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Simplifying 5 + -5(3t + -8) = 12t + -6(2t + 3) Reorder the terms: 5 + -5(-8 + 3t) = 12t + -6(2t + 3) 5 + (-8 * -5 + 3t * -5) = 12t + -6(2t + 3) 5 + (40 + -15t) = 12t + -6(2t + 3) Combine like terms: 5 + 40 = 45 45 + -15t = 12t + -6(2t + 3) Reorder the terms: 45 + -15t = 12t + -6(3 + 2t) 45 + -15t = 12t + (3 * -6 + 2t * -6) 45 + -15t = 12t + (-18 + -12t) Reorder the terms: 45 + -15t = -18 + 12t + -12t Combine like terms: 12t + -12t = 0 45 + -15t = -18 + 0 45 + -15t = -18 Solving 45 + -15t = -18 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -15t = -18 + -45 Combine like terms: 45 + -45 = 0 0 + -15t = -18 + -45 -15t = -18 + -45 Combine like terms: -18 + -45 = -63 -15t = -63 Divide each side by '-15'. t = 4.2 Simplifying t = 4.2
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