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Simplifying 5(7 + -1t) = 2t (7 * 5 + -1t * 5) = 2t (35 + -5t) = 2t Solving 35 + -5t = 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. 35 + -5t + -2t = 2t + -2t Combine like terms: -5t + -2t = -7t 35 + -7t = 2t + -2t Combine like terms: 2t + -2t = 0 35 + -7t = 0 Add '-35' to each side of the equation. 35 + -35 + -7t = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -7t = 0 + -35 -7t = 0 + -35 Combine like terms: 0 + -35 = -35 -7t = -35 Divide each side by '-7'. t = 5 Simplifying t = 5
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