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Simplifying -3(t + -3) + 9 = 3t + -1 Reorder the terms: -3(-3 + t) + 9 = 3t + -1 (-3 * -3 + t * -3) + 9 = 3t + -1 (9 + -3t) + 9 = 3t + -1 Reorder the terms: 9 + 9 + -3t = 3t + -1 Combine like terms: 9 + 9 = 18 18 + -3t = 3t + -1 Reorder the terms: 18 + -3t = -1 + 3t Solving 18 + -3t = -1 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 18 + -3t + -3t = -1 + 3t + -3t Combine like terms: -3t + -3t = -6t 18 + -6t = -1 + 3t + -3t Combine like terms: 3t + -3t = 0 18 + -6t = -1 + 0 18 + -6t = -1 Add '-18' to each side of the equation. 18 + -18 + -6t = -1 + -18 Combine like terms: 18 + -18 = 0 0 + -6t = -1 + -18 -6t = -1 + -18 Combine like terms: -1 + -18 = -19 -6t = -19 Divide each side by '-6'. t = 3.166666667 Simplifying t = 3.166666667
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