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Simplifying 4t + -7 = 3(t + 6) + -4t Reorder the terms: -7 + 4t = 3(t + 6) + -4t Reorder the terms: -7 + 4t = 3(6 + t) + -4t -7 + 4t = (6 * 3 + t * 3) + -4t -7 + 4t = (18 + 3t) + -4t Combine like terms: 3t + -4t = -1t -7 + 4t = 18 + -1t Solving -7 + 4t = 18 + -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. -7 + 4t + t = 18 + -1t + t Combine like terms: 4t + t = 5t -7 + 5t = 18 + -1t + t Combine like terms: -1t + t = 0 -7 + 5t = 18 + 0 -7 + 5t = 18 Add '7' to each side of the equation. -7 + 7 + 5t = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 5t = 18 + 7 5t = 18 + 7 Combine like terms: 18 + 7 = 25 5t = 25 Divide each side by '5'. t = 5 Simplifying t = 5
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