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Simplifying -2(3t + -5) + 4t = 2 + -7 Reorder the terms: -2(-5 + 3t) + 4t = 2 + -7 (-5 * -2 + 3t * -2) + 4t = 2 + -7 (10 + -6t) + 4t = 2 + -7 Combine like terms: -6t + 4t = -2t 10 + -2t = 2 + -7 Combine like terms: 2 + -7 = -5 10 + -2t = -5 Solving 10 + -2t = -5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2t = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -2t = -5 + -10 -2t = -5 + -10 Combine like terms: -5 + -10 = -15 -2t = -15 Divide each side by '-2'. t = 7.5 Simplifying t = 7.5
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