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Simplifying 3(t + 5) = 6 + -2(T + -4) Reorder the terms: 3(5 + t) = 6 + -2(T + -4) (5 * 3 + t * 3) = 6 + -2(T + -4) (15 + 3t) = 6 + -2(T + -4) Reorder the terms: 15 + 3t = 6 + -2(-4 + T) 15 + 3t = 6 + (-4 * -2 + T * -2) 15 + 3t = 6 + (8 + -2T) Combine like terms: 6 + 8 = 14 15 + 3t = 14 + -2T Solving 15 + 3t = 14 + -2T Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3t = 14 + -15 + -2T Combine like terms: 15 + -15 = 0 0 + 3t = 14 + -15 + -2T 3t = 14 + -15 + -2T Combine like terms: 14 + -15 = -1 3t = -1 + -2T Divide each side by '3'. t = -0.3333333333 + -0.6666666667T Simplifying t = -0.3333333333 + -0.6666666667T
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