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Simplifying 4[2t + -1(3 + -1t) + 5] = 4(1 + -1x) 4[2t + (3 * -1 + -1t * -1) + 5] = 4(1 + -1x) 4[2t + (-3 + 1t) + 5] = 4(1 + -1x) Reorder the terms: 4[-3 + 5 + 2t + 1t] = 4(1 + -1x) Combine like terms: -3 + 5 = 2 4[2 + 2t + 1t] = 4(1 + -1x) Combine like terms: 2t + 1t = 3t 4[2 + 3t] = 4(1 + -1x) [2 * 4 + 3t * 4] = 4(1 + -1x) [8 + 12t] = 4(1 + -1x) 8 + 12t = (1 * 4 + -1x * 4) 8 + 12t = (4 + -4x) Solving 8 + 12t = 4 + -4x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 12t = 4 + -8 + -4x Combine like terms: 8 + -8 = 0 0 + 12t = 4 + -8 + -4x 12t = 4 + -8 + -4x Combine like terms: 4 + -8 = -4 12t = -4 + -4x Divide each side by '12'. t = -0.3333333333 + -0.3333333333x Simplifying t = -0.3333333333 + -0.3333333333x
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