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Simplifying 7(t + 33) + -6 = 2t Reorder the terms: 7(33 + t) + -6 = 2t (33 * 7 + t * 7) + -6 = 2t (231 + 7t) + -6 = 2t Reorder the terms: 231 + -6 + 7t = 2t Combine like terms: 231 + -6 = 225 225 + 7t = 2t Solving 225 + 7t = 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. 225 + 7t + -2t = 2t + -2t Combine like terms: 7t + -2t = 5t 225 + 5t = 2t + -2t Combine like terms: 2t + -2t = 0 225 + 5t = 0 Add '-225' to each side of the equation. 225 + -225 + 5t = 0 + -225 Combine like terms: 225 + -225 = 0 0 + 5t = 0 + -225 5t = 0 + -225 Combine like terms: 0 + -225 = -225 5t = -225 Divide each side by '5'. t = -45 Simplifying t = -45
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