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Simplifying 7(t + -1) + 2(-2t + -1) = 2(t + 4) + 9 Reorder the terms: 7(-1 + t) + 2(-2t + -1) = 2(t + 4) + 9 (-1 * 7 + t * 7) + 2(-2t + -1) = 2(t + 4) + 9 (-7 + 7t) + 2(-2t + -1) = 2(t + 4) + 9 Reorder the terms: -7 + 7t + 2(-1 + -2t) = 2(t + 4) + 9 -7 + 7t + (-1 * 2 + -2t * 2) = 2(t + 4) + 9 -7 + 7t + (-2 + -4t) = 2(t + 4) + 9 Reorder the terms: -7 + -2 + 7t + -4t = 2(t + 4) + 9 Combine like terms: -7 + -2 = -9 -9 + 7t + -4t = 2(t + 4) + 9 Combine like terms: 7t + -4t = 3t -9 + 3t = 2(t + 4) + 9 Reorder the terms: -9 + 3t = 2(4 + t) + 9 -9 + 3t = (4 * 2 + t * 2) + 9 -9 + 3t = (8 + 2t) + 9 Reorder the terms: -9 + 3t = 8 + 9 + 2t Combine like terms: 8 + 9 = 17 -9 + 3t = 17 + 2t Solving -9 + 3t = 17 + 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. -9 + 3t + -2t = 17 + 2t + -2t Combine like terms: 3t + -2t = 1t -9 + 1t = 17 + 2t + -2t Combine like terms: 2t + -2t = 0 -9 + 1t = 17 + 0 -9 + 1t = 17 Add '9' to each side of the equation. -9 + 9 + 1t = 17 + 9 Combine like terms: -9 + 9 = 0 0 + 1t = 17 + 9 1t = 17 + 9 Combine like terms: 17 + 9 = 26 1t = 26 Divide each side by '1'. t = 26 Simplifying t = 26
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