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Simplifying 4t + -7 = 3(t + 1) Reorder the terms: -7 + 4t = 3(t + 1) Reorder the terms: -7 + 4t = 3(1 + t) -7 + 4t = (1 * 3 + t * 3) -7 + 4t = (3 + 3t) Solving -7 + 4t = 3 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -7 + 4t + -3t = 3 + 3t + -3t Combine like terms: 4t + -3t = 1t -7 + 1t = 3 + 3t + -3t Combine like terms: 3t + -3t = 0 -7 + 1t = 3 + 0 -7 + 1t = 3 Add '7' to each side of the equation. -7 + 7 + 1t = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 1t = 3 + 7 1t = 3 + 7 Combine like terms: 3 + 7 = 10 1t = 10 Divide each side by '1'. t = 10 Simplifying t = 10
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