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Simplifying 6(2 + 12) + -4t = 8(t + -9) Combine like terms: 2 + 12 = 14 6(14) + -4t = 8(t + -9) Multiply 6 * 14 84 + -4t = 8(t + -9) Reorder the terms: 84 + -4t = 8(-9 + t) 84 + -4t = (-9 * 8 + t * 8) 84 + -4t = (-72 + 8t) Solving 84 + -4t = -72 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 84 + -4t + -8t = -72 + 8t + -8t Combine like terms: -4t + -8t = -12t 84 + -12t = -72 + 8t + -8t Combine like terms: 8t + -8t = 0 84 + -12t = -72 + 0 84 + -12t = -72 Add '-84' to each side of the equation. 84 + -84 + -12t = -72 + -84 Combine like terms: 84 + -84 = 0 0 + -12t = -72 + -84 -12t = -72 + -84 Combine like terms: -72 + -84 = -156 -12t = -156 Divide each side by '-12'. t = 13 Simplifying t = 13
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