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Simplifying -6 + -3t + 9 + -1(-6t) + -2t = 0 Remove parenthesis around (-6t) -6 + -3t + 9 + -1 * -6t + -2t = 0 Multiply -1 * -6 -6 + -3t + 9 + 6t + -2t = 0 Reorder the terms: -6 + 9 + -3t + 6t + -2t = 0 Combine like terms: -6 + 9 = 3 3 + -3t + 6t + -2t = 0 Combine like terms: -3t + 6t = 3t 3 + 3t + -2t = 0 Combine like terms: 3t + -2t = 1t 3 + 1t = 0 Solving 3 + 1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1t = 0 + -3 1t = 0 + -3 Combine like terms: 0 + -3 = -3 1t = -3 Divide each side by '1'. t = -3 Simplifying t = -3
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