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Simplifying (6t + -7) = 2(t + 1) + 2 Reorder the terms: (-7 + 6t) = 2(t + 1) + 2 Remove parenthesis around (-7 + 6t) -7 + 6t = 2(t + 1) + 2 Reorder the terms: -7 + 6t = 2(1 + t) + 2 -7 + 6t = (1 * 2 + t * 2) + 2 -7 + 6t = (2 + 2t) + 2 Reorder the terms: -7 + 6t = 2 + 2 + 2t Combine like terms: 2 + 2 = 4 -7 + 6t = 4 + 2t Solving -7 + 6t = 4 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -7 + 6t + -2t = 4 + 2t + -2t Combine like terms: 6t + -2t = 4t -7 + 4t = 4 + 2t + -2t Combine like terms: 2t + -2t = 0 -7 + 4t = 4 + 0 -7 + 4t = 4 Add '7' to each side of the equation. -7 + 7 + 4t = 4 + 7 Combine like terms: -7 + 7 = 0 0 + 4t = 4 + 7 4t = 4 + 7 Combine like terms: 4 + 7 = 11 4t = 11 Divide each side by '4'. t = 2.75 Simplifying t = 2.75
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