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Simplifying 15t + -7 + -1(-8) + -9t + -1(-6t) = 0 Multiply -1 * -8 15t + -7 + 8 + -9t + -1(-6t) = 0 Remove parenthesis around (-6t) 15t + -7 + 8 + -9t + -1 * -6t = 0 Multiply -1 * -6 15t + -7 + 8 + -9t + 6t = 0 Reorder the terms: -7 + 8 + 15t + -9t + 6t = 0 Combine like terms: -7 + 8 = 1 1 + 15t + -9t + 6t = 0 Combine like terms: 15t + -9t = 6t 1 + 6t + 6t = 0 Combine like terms: 6t + 6t = 12t 1 + 12t = 0 Solving 1 + 12t = 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 + 12t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 12t = 0 + -1 12t = 0 + -1 Combine like terms: 0 + -1 = -1 12t = -1 Divide each side by '12'. t = -0.08333333333 Simplifying t = -0.08333333333
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