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Simplifying 5(3t + -2) = -3(7 + -1) Reorder the terms: 5(-2 + 3t) = -3(7 + -1) (-2 * 5 + 3t * 5) = -3(7 + -1) (-10 + 15t) = -3(7 + -1) Combine like terms: 7 + -1 = 6 -10 + 15t = -3(6) Multiply -3 * 6 -10 + 15t = -18 Solving -10 + 15t = -18 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 15t = -18 + 10 Combine like terms: -10 + 10 = 0 0 + 15t = -18 + 10 15t = -18 + 10 Combine like terms: -18 + 10 = -8 15t = -8 Divide each side by '15'. t = -0.5333333333 Simplifying t = -0.5333333333
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