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Simplifying 3(t + 5) + -2t = 3 + -1(4t + -2) Reorder the terms: 3(5 + t) + -2t = 3 + -1(4t + -2) (5 * 3 + t * 3) + -2t = 3 + -1(4t + -2) (15 + 3t) + -2t = 3 + -1(4t + -2) Combine like terms: 3t + -2t = 1t 15 + 1t = 3 + -1(4t + -2) Reorder the terms: 15 + 1t = 3 + -1(-2 + 4t) 15 + 1t = 3 + (-2 * -1 + 4t * -1) 15 + 1t = 3 + (2 + -4t) Combine like terms: 3 + 2 = 5 15 + 1t = 5 + -4t Solving 15 + 1t = 5 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 15 + 1t + 4t = 5 + -4t + 4t Combine like terms: 1t + 4t = 5t 15 + 5t = 5 + -4t + 4t Combine like terms: -4t + 4t = 0 15 + 5t = 5 + 0 15 + 5t = 5 Add '-15' to each side of the equation. 15 + -15 + 5t = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 5t = 5 + -15 5t = 5 + -15 Combine like terms: 5 + -15 = -10 5t = -10 Divide each side by '5'. t = -2 Simplifying t = -2
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