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Simplifying 9(10 + -4) + -2t = 5(t + -2) Combine like terms: 10 + -4 = 6 9(6) + -2t = 5(t + -2) Multiply 9 * 6 54 + -2t = 5(t + -2) Reorder the terms: 54 + -2t = 5(-2 + t) 54 + -2t = (-2 * 5 + t * 5) 54 + -2t = (-10 + 5t) Solving 54 + -2t = -10 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 54 + -2t + -5t = -10 + 5t + -5t Combine like terms: -2t + -5t = -7t 54 + -7t = -10 + 5t + -5t Combine like terms: 5t + -5t = 0 54 + -7t = -10 + 0 54 + -7t = -10 Add '-54' to each side of the equation. 54 + -54 + -7t = -10 + -54 Combine like terms: 54 + -54 = 0 0 + -7t = -10 + -54 -7t = -10 + -54 Combine like terms: -10 + -54 = -64 -7t = -64 Divide each side by '-7'. t = 9.142857143 Simplifying t = 9.142857143
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