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Simplifying -2(5t + -5) + 3t = 2t + -7 Reorder the terms: -2(-5 + 5t) + 3t = 2t + -7 (-5 * -2 + 5t * -2) + 3t = 2t + -7 (10 + -10t) + 3t = 2t + -7 Combine like terms: -10t + 3t = -7t 10 + -7t = 2t + -7 Reorder the terms: 10 + -7t = -7 + 2t Solving 10 + -7t = -7 + 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. 10 + -7t + -2t = -7 + 2t + -2t Combine like terms: -7t + -2t = -9t 10 + -9t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 10 + -9t = -7 + 0 10 + -9t = -7 Add '-10' to each side of the equation. 10 + -10 + -9t = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -9t = -7 + -10 -9t = -7 + -10 Combine like terms: -7 + -10 = -17 -9t = -17 Divide each side by '-9'. t = 1.888888889 Simplifying t = 1.888888889
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