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Simplifying 7 + -3(5t + -10) = 77 Reorder the terms: 7 + -3(-10 + 5t) = 77 7 + (-10 * -3 + 5t * -3) = 77 7 + (30 + -15t) = 77 Combine like terms: 7 + 30 = 37 37 + -15t = 77 Solving 37 + -15t = 77 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -15t = 77 + -37 Combine like terms: 37 + -37 = 0 0 + -15t = 77 + -37 -15t = 77 + -37 Combine like terms: 77 + -37 = 40 -15t = 40 Divide each side by '-15'. t = -2.666666667 Simplifying t = -2.666666667
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