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Simplifying 5(t + 3) + -1(t + -6) = 29 Reorder the terms: 5(3 + t) + -1(t + -6) = 29 (3 * 5 + t * 5) + -1(t + -6) = 29 (15 + 5t) + -1(t + -6) = 29 Reorder the terms: 15 + 5t + -1(-6 + t) = 29 15 + 5t + (-6 * -1 + t * -1) = 29 15 + 5t + (6 + -1t) = 29 Reorder the terms: 15 + 6 + 5t + -1t = 29 Combine like terms: 15 + 6 = 21 21 + 5t + -1t = 29 Combine like terms: 5t + -1t = 4t 21 + 4t = 29 Solving 21 + 4t = 29 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 4t = 29 + -21 Combine like terms: 21 + -21 = 0 0 + 4t = 29 + -21 4t = 29 + -21 Combine like terms: 29 + -21 = 8 4t = 8 Divide each side by '4'. t = 2 Simplifying t = 2
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