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Simplifying 4(t + -7) = 12 + -1t Reorder the terms: 4(-7 + t) = 12 + -1t (-7 * 4 + t * 4) = 12 + -1t (-28 + 4t) = 12 + -1t Solving -28 + 4t = 12 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -28 + 4t + t = 12 + -1t + t Combine like terms: 4t + t = 5t -28 + 5t = 12 + -1t + t Combine like terms: -1t + t = 0 -28 + 5t = 12 + 0 -28 + 5t = 12 Add '28' to each side of the equation. -28 + 28 + 5t = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 5t = 12 + 28 5t = 12 + 28 Combine like terms: 12 + 28 = 40 5t = 40 Divide each side by '5'. t = 8 Simplifying t = 8
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