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Simplifying 2(2t + -5) + -6t = 1733(2t + -5) Reorder the terms: 2(-5 + 2t) + -6t = 1733(2t + -5) (-5 * 2 + 2t * 2) + -6t = 1733(2t + -5) (-10 + 4t) + -6t = 1733(2t + -5) Combine like terms: 4t + -6t = -2t -10 + -2t = 1733(2t + -5) Reorder the terms: -10 + -2t = 1733(-5 + 2t) -10 + -2t = (-5 * 1733 + 2t * 1733) -10 + -2t = (-8665 + 3466t) Solving -10 + -2t = -8665 + 3466t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3466t' to each side of the equation. -10 + -2t + -3466t = -8665 + 3466t + -3466t Combine like terms: -2t + -3466t = -3468t -10 + -3468t = -8665 + 3466t + -3466t Combine like terms: 3466t + -3466t = 0 -10 + -3468t = -8665 + 0 -10 + -3468t = -8665 Add '10' to each side of the equation. -10 + 10 + -3468t = -8665 + 10 Combine like terms: -10 + 10 = 0 0 + -3468t = -8665 + 10 -3468t = -8665 + 10 Combine like terms: -8665 + 10 = -8655 -3468t = -8655 Divide each side by '-3468'. t = 2.49567474 Simplifying t = 2.49567474
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