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Simplifying 5t + -7 + -1(-8) + -9t + -1(-6t) = 0 Multiply -1 * -8 5t + -7 + 8 + -9t + -1(-6t) = 0 Remove parenthesis around (-6t) 5t + -7 + 8 + -9t + -1 * -6t = 0 Multiply -1 * -6 5t + -7 + 8 + -9t + 6t = 0 Reorder the terms: -7 + 8 + 5t + -9t + 6t = 0 Combine like terms: -7 + 8 = 1 1 + 5t + -9t + 6t = 0 Combine like terms: 5t + -9t = -4t 1 + -4t + 6t = 0 Combine like terms: -4t + 6t = 2t 1 + 2t = 0 Solving 1 + 2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2t = 0 + -1 2t = 0 + -1 Combine like terms: 0 + -1 = -1 2t = -1 Divide each side by '2'. t = -0.5 Simplifying t = -0.5
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