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Simplifying (T + -2) * 8 = 4(t + -5) Reorder the terms: (-2 + T) * 8 = 4(t + -5) Reorder the terms for easier multiplication: 8(-2 + T) = 4(t + -5) (-2 * 8 + T * 8) = 4(t + -5) (-16 + 8T) = 4(t + -5) Reorder the terms: -16 + 8T = 4(-5 + t) -16 + 8T = (-5 * 4 + t * 4) -16 + 8T = (-20 + 4t) Solving -16 + 8T = -20 + 4t Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 8T = -20 + 16 + 4t Combine like terms: -16 + 16 = 0 0 + 8T = -20 + 16 + 4t 8T = -20 + 16 + 4t Combine like terms: -20 + 16 = -4 8T = -4 + 4t Divide each side by '8'. T = -0.5 + 0.5t Simplifying T = -0.5 + 0.5t
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