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Simplifying -2(5t + -5) + 4t = 3t + -7 Reorder the terms: -2(-5 + 5t) + 4t = 3t + -7 (-5 * -2 + 5t * -2) + 4t = 3t + -7 (10 + -10t) + 4t = 3t + -7 Combine like terms: -10t + 4t = -6t 10 + -6t = 3t + -7 Reorder the terms: 10 + -6t = -7 + 3t Solving 10 + -6t = -7 + 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. 10 + -6t + -3t = -7 + 3t + -3t Combine like terms: -6t + -3t = -9t 10 + -9t = -7 + 3t + -3t Combine like terms: 3t + -3t = 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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