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Simplifying 3(2t + -1) + -7 = 4(t + 1) Reorder the terms: 3(-1 + 2t) + -7 = 4(t + 1) (-1 * 3 + 2t * 3) + -7 = 4(t + 1) (-3 + 6t) + -7 = 4(t + 1) Reorder the terms: -3 + -7 + 6t = 4(t + 1) Combine like terms: -3 + -7 = -10 -10 + 6t = 4(t + 1) Reorder the terms: -10 + 6t = 4(1 + t) -10 + 6t = (1 * 4 + t * 4) -10 + 6t = (4 + 4t) Solving -10 + 6t = 4 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -10 + 6t + -4t = 4 + 4t + -4t Combine like terms: 6t + -4t = 2t -10 + 2t = 4 + 4t + -4t Combine like terms: 4t + -4t = 0 -10 + 2t = 4 + 0 -10 + 2t = 4 Add '10' to each side of the equation. -10 + 10 + 2t = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 2t = 4 + 10 2t = 4 + 10 Combine like terms: 4 + 10 = 14 2t = 14 Divide each side by '2'. t = 7 Simplifying t = 7
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