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