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Simplifying 7t + -8(-5) + -6t + -1(-5t) = 0 Multiply -8 * -5 7t + 40 + -6t + -1(-5t) = 0 Remove parenthesis around (-5t) 7t + 40 + -6t + -1 * -5t = 0 Multiply -1 * -5 7t + 40 + -6t + 5t = 0 Reorder the terms: 40 + 7t + -6t + 5t = 0 Combine like terms: 7t + -6t = 1t 40 + 1t + 5t = 0 Combine like terms: 1t + 5t = 6t 40 + 6t = 0 Solving 40 + 6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 6t = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 6t = 0 + -40 6t = 0 + -40 Combine like terms: 0 + -40 = -40 6t = -40 Divide each side by '6'. t = -6.666666667 Simplifying t = -6.666666667
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