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Simplifying 5(t + 4) = 3(t + -4) Reorder the terms: 5(4 + t) = 3(t + -4) (4 * 5 + t * 5) = 3(t + -4) (20 + 5t) = 3(t + -4) Reorder the terms: 20 + 5t = 3(-4 + t) 20 + 5t = (-4 * 3 + t * 3) 20 + 5t = (-12 + 3t) Solving 20 + 5t = -12 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 20 + 5t + -3t = -12 + 3t + -3t Combine like terms: 5t + -3t = 2t 20 + 2t = -12 + 3t + -3t Combine like terms: 3t + -3t = 0 20 + 2t = -12 + 0 20 + 2t = -12 Add '-20' to each side of the equation. 20 + -20 + 2t = -12 + -20 Combine like terms: 20 + -20 = 0 0 + 2t = -12 + -20 2t = -12 + -20 Combine like terms: -12 + -20 = -32 2t = -32 Divide each side by '2'. t = -16 Simplifying t = -16
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