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Simplifying -2(3t + -7) + 7 = 5t + 14 Reorder the terms: -2(-7 + 3t) + 7 = 5t + 14 (-7 * -2 + 3t * -2) + 7 = 5t + 14 (14 + -6t) + 7 = 5t + 14 Reorder the terms: 14 + 7 + -6t = 5t + 14 Combine like terms: 14 + 7 = 21 21 + -6t = 5t + 14 Reorder the terms: 21 + -6t = 14 + 5t Solving 21 + -6t = 14 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 21 + -6t + -5t = 14 + 5t + -5t Combine like terms: -6t + -5t = -11t 21 + -11t = 14 + 5t + -5t Combine like terms: 5t + -5t = 0 21 + -11t = 14 + 0 21 + -11t = 14 Add '-21' to each side of the equation. 21 + -21 + -11t = 14 + -21 Combine like terms: 21 + -21 = 0 0 + -11t = 14 + -21 -11t = 14 + -21 Combine like terms: 14 + -21 = -7 -11t = -7 Divide each side by '-11'. t = 0.6363636364 Simplifying t = 0.6363636364
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