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Simplifying (7t + -6) = 2(t + 1) + 4 Reorder the terms: (-6 + 7t) = 2(t + 1) + 4 Remove parenthesis around (-6 + 7t) -6 + 7t = 2(t + 1) + 4 Reorder the terms: -6 + 7t = 2(1 + t) + 4 -6 + 7t = (1 * 2 + t * 2) + 4 -6 + 7t = (2 + 2t) + 4 Reorder the terms: -6 + 7t = 2 + 4 + 2t Combine like terms: 2 + 4 = 6 -6 + 7t = 6 + 2t Solving -6 + 7t = 6 + 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. -6 + 7t + -2t = 6 + 2t + -2t Combine like terms: 7t + -2t = 5t -6 + 5t = 6 + 2t + -2t Combine like terms: 2t + -2t = 0 -6 + 5t = 6 + 0 -6 + 5t = 6 Add '6' to each side of the equation. -6 + 6 + 5t = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 5t = 6 + 6 5t = 6 + 6 Combine like terms: 6 + 6 = 12 5t = 12 Divide each side by '5'. t = 2.4 Simplifying t = 2.4
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