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Simplifying 8t + -40 = 12t + 30 + -10 Reorder the terms: -40 + 8t = 12t + 30 + -10 Reorder the terms: -40 + 8t = 30 + -10 + 12t Combine like terms: 30 + -10 = 20 -40 + 8t = 20 + 12t Solving -40 + 8t = 20 + 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. -40 + 8t + -12t = 20 + 12t + -12t Combine like terms: 8t + -12t = -4t -40 + -4t = 20 + 12t + -12t Combine like terms: 12t + -12t = 0 -40 + -4t = 20 + 0 -40 + -4t = 20 Add '40' to each side of the equation. -40 + 40 + -4t = 20 + 40 Combine like terms: -40 + 40 = 0 0 + -4t = 20 + 40 -4t = 20 + 40 Combine like terms: 20 + 40 = 60 -4t = 60 Divide each side by '-4'. t = -15 Simplifying t = -15
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