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Simplifying 9 + 5(t + -7) = 3(t + 2) * 6 Reorder the terms: 9 + 5(-7 + t) = 3(t + 2) * 6 9 + (-7 * 5 + t * 5) = 3(t + 2) * 6 9 + (-35 + 5t) = 3(t + 2) * 6 Combine like terms: 9 + -35 = -26 -26 + 5t = 3(t + 2) * 6 Reorder the terms: -26 + 5t = 3(2 + t) * 6 Reorder the terms for easier multiplication: -26 + 5t = 3 * 6(2 + t) Multiply 3 * 6 -26 + 5t = 18(2 + t) -26 + 5t = (2 * 18 + t * 18) -26 + 5t = (36 + 18t) Solving -26 + 5t = 36 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. -26 + 5t + -18t = 36 + 18t + -18t Combine like terms: 5t + -18t = -13t -26 + -13t = 36 + 18t + -18t Combine like terms: 18t + -18t = 0 -26 + -13t = 36 + 0 -26 + -13t = 36 Add '26' to each side of the equation. -26 + 26 + -13t = 36 + 26 Combine like terms: -26 + 26 = 0 0 + -13t = 36 + 26 -13t = 36 + 26 Combine like terms: 36 + 26 = 62 -13t = 62 Divide each side by '-13'. t = -4.769230769 Simplifying t = -4.769230769
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