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Simplifying 5(2t + -3) = 3(5t + -2) Reorder the terms: 5(-3 + 2t) = 3(5t + -2) (-3 * 5 + 2t * 5) = 3(5t + -2) (-15 + 10t) = 3(5t + -2) Reorder the terms: -15 + 10t = 3(-2 + 5t) -15 + 10t = (-2 * 3 + 5t * 3) -15 + 10t = (-6 + 15t) Solving -15 + 10t = -6 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. -15 + 10t + -15t = -6 + 15t + -15t Combine like terms: 10t + -15t = -5t -15 + -5t = -6 + 15t + -15t Combine like terms: 15t + -15t = 0 -15 + -5t = -6 + 0 -15 + -5t = -6 Add '15' to each side of the equation. -15 + 15 + -5t = -6 + 15 Combine like terms: -15 + 15 = 0 0 + -5t = -6 + 15 -5t = -6 + 15 Combine like terms: -6 + 15 = 9 -5t = 9 Divide each side by '-5'. t = -1.8 Simplifying t = -1.8
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