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Simplifying 2(t + -5) + -3(3 + -2) = 11 + -5(7t + 4) Reorder the terms: 2(-5 + t) + -3(3 + -2) = 11 + -5(7t + 4) (-5 * 2 + t * 2) + -3(3 + -2) = 11 + -5(7t + 4) (-10 + 2t) + -3(3 + -2) = 11 + -5(7t + 4) Combine like terms: 3 + -2 = 1 -10 + 2t + -3(1) = 11 + -5(7t + 4) Multiply -3 * 1 -10 + 2t + -3 = 11 + -5(7t + 4) Reorder the terms: -10 + -3 + 2t = 11 + -5(7t + 4) Combine like terms: -10 + -3 = -13 -13 + 2t = 11 + -5(7t + 4) Reorder the terms: -13 + 2t = 11 + -5(4 + 7t) -13 + 2t = 11 + (4 * -5 + 7t * -5) -13 + 2t = 11 + (-20 + -35t) Combine like terms: 11 + -20 = -9 -13 + 2t = -9 + -35t Solving -13 + 2t = -9 + -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. -13 + 2t + 35t = -9 + -35t + 35t Combine like terms: 2t + 35t = 37t -13 + 37t = -9 + -35t + 35t Combine like terms: -35t + 35t = 0 -13 + 37t = -9 + 0 -13 + 37t = -9 Add '13' to each side of the equation. -13 + 13 + 37t = -9 + 13 Combine like terms: -13 + 13 = 0 0 + 37t = -9 + 13 37t = -9 + 13 Combine like terms: -9 + 13 = 4 37t = 4 Divide each side by '37'. t = 0.1081081081 Simplifying t = 0.1081081081
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