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