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Simplifying T + -4(t + -3) = 4 + (3t + 6) Reorder the terms: T + -4(-3 + t) = 4 + (3t + 6) T + (-3 * -4 + t * -4) = 4 + (3t + 6) T + (12 + -4t) = 4 + (3t + 6) Reorder the terms: 12 + T + -4t = 4 + (3t + 6) Reorder the terms: 12 + T + -4t = 4 + (6 + 3t) Remove parenthesis around (6 + 3t) 12 + T + -4t = 4 + 6 + 3t Combine like terms: 4 + 6 = 10 12 + T + -4t = 10 + 3t Solving 12 + T + -4t = 10 + 3t Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + T + -12 + -4t = 10 + -12 + 3t Reorder the terms: 12 + -12 + T + -4t = 10 + -12 + 3t Combine like terms: 12 + -12 = 0 0 + T + -4t = 10 + -12 + 3t T + -4t = 10 + -12 + 3t Combine like terms: 10 + -12 = -2 T + -4t = -2 + 3t Add '4t' to each side of the equation. T + -4t + 4t = -2 + 3t + 4t Combine like terms: -4t + 4t = 0 T + 0 = -2 + 3t + 4t T = -2 + 3t + 4t Combine like terms: 3t + 4t = 7t T = -2 + 7t Simplifying T = -2 + 7t
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