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Simplifying -30 = 3(4t + 10) Reorder the terms: -30 = 3(10 + 4t) -30 = (10 * 3 + 4t * 3) -30 = (30 + 12t) Solving -30 = 30 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -30 + -12t = 30 + 12t + -12t Combine like terms: 12t + -12t = 0 -30 + -12t = 30 + 0 -30 + -12t = 30 Add '30' to each side of the equation. -30 + 30 + -12t = 30 + 30 Combine like terms: -30 + 30 = 0 0 + -12t = 30 + 30 -12t = 30 + 30 Combine like terms: 30 + 30 = 60 -12t = 60 Divide each side by '-12'. t = -5 Simplifying t = -5
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