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Simplifying -2(5t + -2) + 7t = 5t + -9 Reorder the terms: -2(-2 + 5t) + 7t = 5t + -9 (-2 * -2 + 5t * -2) + 7t = 5t + -9 (4 + -10t) + 7t = 5t + -9 Combine like terms: -10t + 7t = -3t 4 + -3t = 5t + -9 Reorder the terms: 4 + -3t = -9 + 5t Solving 4 + -3t = -9 + 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. 4 + -3t + -5t = -9 + 5t + -5t Combine like terms: -3t + -5t = -8t 4 + -8t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 4 + -8t = -9 + 0 4 + -8t = -9 Add '-4' to each side of the equation. 4 + -4 + -8t = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -8t = -9 + -4 -8t = -9 + -4 Combine like terms: -9 + -4 = -13 -8t = -13 Divide each side by '-8'. t = 1.625 Simplifying t = 1.625
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