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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 = -11 12t = -11 Divide each side by '12'. t = -0.9166666667 Simplifying t = -0.9166666667
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