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Simplifying 61 = 16 + 5(t + -3) Reorder the terms: 61 = 16 + 5(-3 + t) 61 = 16 + (-3 * 5 + t * 5) 61 = 16 + (-15 + 5t) Combine like terms: 16 + -15 = 1 61 = 1 + 5t Solving 61 = 1 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 61 + -5t = 1 + 5t + -5t Combine like terms: 5t + -5t = 0 61 + -5t = 1 + 0 61 + -5t = 1 Add '-61' to each side of the equation. 61 + -61 + -5t = 1 + -61 Combine like terms: 61 + -61 = 0 0 + -5t = 1 + -61 -5t = 1 + -61 Combine like terms: 1 + -61 = -60 -5t = -60 Divide each side by '-5'. t = 12 Simplifying t = 12
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