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Simplifying 5 + -1(t + 3) = -1 + 2t + -6 Reorder the terms: 5 + -1(3 + t) = -1 + 2t + -6 5 + (3 * -1 + t * -1) = -1 + 2t + -6 5 + (-3 + -1t) = -1 + 2t + -6 Combine like terms: 5 + -3 = 2 2 + -1t = -1 + 2t + -6 Reorder the terms: 2 + -1t = -1 + -6 + 2t Combine like terms: -1 + -6 = -7 2 + -1t = -7 + 2t Solving 2 + -1t = -7 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 2 + -1t + -2t = -7 + 2t + -2t Combine like terms: -1t + -2t = -3t 2 + -3t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 2 + -3t = -7 + 0 2 + -3t = -7 Add '-2' to each side of the equation. 2 + -2 + -3t = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -3t = -7 + -2 -3t = -7 + -2 Combine like terms: -7 + -2 = -9 -3t = -9 Divide each side by '-3'. t = 3 Simplifying t = 3
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