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Simplifying 2(t + -1) + -3(4 + 1) = 7 + -5(7t + 2) Reorder the terms: 2(-1 + t) + -3(4 + 1) = 7 + -5(7t + 2) (-1 * 2 + t * 2) + -3(4 + 1) = 7 + -5(7t + 2) (-2 + 2t) + -3(4 + 1) = 7 + -5(7t + 2) Combine like terms: 4 + 1 = 5 -2 + 2t + -3(5) = 7 + -5(7t + 2) Multiply -3 * 5 -2 + 2t + -15 = 7 + -5(7t + 2) Reorder the terms: -2 + -15 + 2t = 7 + -5(7t + 2) Combine like terms: -2 + -15 = -17 -17 + 2t = 7 + -5(7t + 2) Reorder the terms: -17 + 2t = 7 + -5(2 + 7t) -17 + 2t = 7 + (2 * -5 + 7t * -5) -17 + 2t = 7 + (-10 + -35t) Combine like terms: 7 + -10 = -3 -17 + 2t = -3 + -35t Solving -17 + 2t = -3 + -35t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '35t' to each side of the equation. -17 + 2t + 35t = -3 + -35t + 35t Combine like terms: 2t + 35t = 37t -17 + 37t = -3 + -35t + 35t Combine like terms: -35t + 35t = 0 -17 + 37t = -3 + 0 -17 + 37t = -3 Add '17' to each side of the equation. -17 + 17 + 37t = -3 + 17 Combine like terms: -17 + 17 = 0 0 + 37t = -3 + 17 37t = -3 + 17 Combine like terms: -3 + 17 = 14 37t = 14 Divide each side by '37'. t = 0.3783783784 Simplifying t = 0.3783783784
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