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Simplifying 7 + -3(5t + -10) = 6 Reorder the terms: 7 + -3(-10 + 5t) = 6 7 + (-10 * -3 + 5t * -3) = 6 7 + (30 + -15t) = 6 Combine like terms: 7 + 30 = 37 37 + -15t = 6 Solving 37 + -15t = 6 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 = 6 + -37 Combine like terms: 37 + -37 = 0 0 + -15t = 6 + -37 -15t = 6 + -37 Combine like terms: 6 + -37 = -31 -15t = -31 Divide each side by '-15'. t = 2.066666667 Simplifying t = 2.066666667
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