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Simplifying 5(t + -7) = 3t + -2 Reorder the terms: 5(-7 + t) = 3t + -2 (-7 * 5 + t * 5) = 3t + -2 (-35 + 5t) = 3t + -2 Reorder the terms: -35 + 5t = -2 + 3t Solving -35 + 5t = -2 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -35 + 5t + -3t = -2 + 3t + -3t Combine like terms: 5t + -3t = 2t -35 + 2t = -2 + 3t + -3t Combine like terms: 3t + -3t = 0 -35 + 2t = -2 + 0 -35 + 2t = -2 Add '35' to each side of the equation. -35 + 35 + 2t = -2 + 35 Combine like terms: -35 + 35 = 0 0 + 2t = -2 + 35 2t = -2 + 35 Combine like terms: -2 + 35 = 33 2t = 33 Divide each side by '2'. t = 16.5 Simplifying t = 16.5
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