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Simplifying 16 = 5(t + -2) + -3t Reorder the terms: 16 = 5(-2 + t) + -3t 16 = (-2 * 5 + t * 5) + -3t 16 = (-10 + 5t) + -3t Combine like terms: 5t + -3t = 2t 16 = -10 + 2t Solving 16 = -10 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 16 + -2t = -10 + 2t + -2t Combine like terms: 2t + -2t = 0 16 + -2t = -10 + 0 16 + -2t = -10 Add '-16' to each side of the equation. 16 + -16 + -2t = -10 + -16 Combine like terms: 16 + -16 = 0 0 + -2t = -10 + -16 -2t = -10 + -16 Combine like terms: -10 + -16 = -26 -2t = -26 Divide each side by '-2'. t = 13 Simplifying t = 13
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