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Simplifying 7 + -3(15t + -10) = 67 Reorder the terms: 7 + -3(-10 + 15t) = 67 7 + (-10 * -3 + 15t * -3) = 67 7 + (30 + -45t) = 67 Combine like terms: 7 + 30 = 37 37 + -45t = 67 Solving 37 + -45t = 67 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 + -45t = 67 + -37 Combine like terms: 37 + -37 = 0 0 + -45t = 67 + -37 -45t = 67 + -37 Combine like terms: 67 + -37 = 30 -45t = 30 Divide each side by '-45'. t = -0.6666666667 Simplifying t = -0.6666666667
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