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Simplifying 5(3t + 2) = -3(7 + -1t) Reorder the terms: 5(2 + 3t) = -3(7 + -1t) (2 * 5 + 3t * 5) = -3(7 + -1t) (10 + 15t) = -3(7 + -1t) 10 + 15t = (7 * -3 + -1t * -3) 10 + 15t = (-21 + 3t) Solving 10 + 15t = -21 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 10 + 15t + -3t = -21 + 3t + -3t Combine like terms: 15t + -3t = 12t 10 + 12t = -21 + 3t + -3t Combine like terms: 3t + -3t = 0 10 + 12t = -21 + 0 10 + 12t = -21 Add '-10' to each side of the equation. 10 + -10 + 12t = -21 + -10 Combine like terms: 10 + -10 = 0 0 + 12t = -21 + -10 12t = -21 + -10 Combine like terms: -21 + -10 = -31 12t = -31 Divide each side by '12'. t = -2.583333333 Simplifying t = -2.583333333
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