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Simplifying (5t + 3) + -2(t + 3) = 29 + -5t Reorder the terms: (3 + 5t) + -2(t + 3) = 29 + -5t Remove parenthesis around (3 + 5t) 3 + 5t + -2(t + 3) = 29 + -5t Reorder the terms: 3 + 5t + -2(3 + t) = 29 + -5t 3 + 5t + (3 * -2 + t * -2) = 29 + -5t 3 + 5t + (-6 + -2t) = 29 + -5t Reorder the terms: 3 + -6 + 5t + -2t = 29 + -5t Combine like terms: 3 + -6 = -3 -3 + 5t + -2t = 29 + -5t Combine like terms: 5t + -2t = 3t -3 + 3t = 29 + -5t Solving -3 + 3t = 29 + -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. -3 + 3t + 5t = 29 + -5t + 5t Combine like terms: 3t + 5t = 8t -3 + 8t = 29 + -5t + 5t Combine like terms: -5t + 5t = 0 -3 + 8t = 29 + 0 -3 + 8t = 29 Add '3' to each side of the equation. -3 + 3 + 8t = 29 + 3 Combine like terms: -3 + 3 = 0 0 + 8t = 29 + 3 8t = 29 + 3 Combine like terms: 29 + 3 = 32 8t = 32 Divide each side by '8'. t = 4 Simplifying t = 4
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