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Simplifying -2 = 3 + -2(5t + 3) Reorder the terms: -2 = 3 + -2(3 + 5t) -2 = 3 + (3 * -2 + 5t * -2) -2 = 3 + (-6 + -10t) Combine like terms: 3 + -6 = -3 -2 = -3 + -10t Solving -2 = -3 + -10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10t' to each side of the equation. -2 + 10t = -3 + -10t + 10t Combine like terms: -10t + 10t = 0 -2 + 10t = -3 + 0 -2 + 10t = -3 Add '2' to each side of the equation. -2 + 2 + 10t = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 10t = -3 + 2 10t = -3 + 2 Combine like terms: -3 + 2 = -1 10t = -1 Divide each side by '10'. t = -0.1 Simplifying t = -0.1
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