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Simplifying -3(t + -3) + 6t = 5t + -1 Reorder the terms: -3(-3 + t) + 6t = 5t + -1 (-3 * -3 + t * -3) + 6t = 5t + -1 (9 + -3t) + 6t = 5t + -1 Combine like terms: -3t + 6t = 3t 9 + 3t = 5t + -1 Reorder the terms: 9 + 3t = -1 + 5t Solving 9 + 3t = -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. 9 + 3t + -5t = -1 + 5t + -5t Combine like terms: 3t + -5t = -2t 9 + -2t = -1 + 5t + -5t Combine like terms: 5t + -5t = 0 9 + -2t = -1 + 0 9 + -2t = -1 Add '-9' to each side of the equation. 9 + -9 + -2t = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -2t = -1 + -9 -2t = -1 + -9 Combine like terms: -1 + -9 = -10 -2t = -10 Divide each side by '-2'. t = 5 Simplifying t = 5
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