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Simplifying -2 = 7(t + 2) + 3(2t + -1) Reorder the terms: -2 = 7(2 + t) + 3(2t + -1) -2 = (2 * 7 + t * 7) + 3(2t + -1) -2 = (14 + 7t) + 3(2t + -1) Reorder the terms: -2 = 14 + 7t + 3(-1 + 2t) -2 = 14 + 7t + (-1 * 3 + 2t * 3) -2 = 14 + 7t + (-3 + 6t) Reorder the terms: -2 = 14 + -3 + 7t + 6t Combine like terms: 14 + -3 = 11 -2 = 11 + 7t + 6t Combine like terms: 7t + 6t = 13t -2 = 11 + 13t Solving -2 = 11 + 13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13t' to each side of the equation. -2 + -13t = 11 + 13t + -13t Combine like terms: 13t + -13t = 0 -2 + -13t = 11 + 0 -2 + -13t = 11 Add '2' to each side of the equation. -2 + 2 + -13t = 11 + 2 Combine like terms: -2 + 2 = 0 0 + -13t = 11 + 2 -13t = 11 + 2 Combine like terms: 11 + 2 = 13 -13t = 13 Divide each side by '-13'. t = -1 Simplifying t = -1
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