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Simplifying -5(t + -2) + 7t = 6t + -4 Reorder the terms: -5(-2 + t) + 7t = 6t + -4 (-2 * -5 + t * -5) + 7t = 6t + -4 (10 + -5t) + 7t = 6t + -4 Combine like terms: -5t + 7t = 2t 10 + 2t = 6t + -4 Reorder the terms: 10 + 2t = -4 + 6t Solving 10 + 2t = -4 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 10 + 2t + -6t = -4 + 6t + -6t Combine like terms: 2t + -6t = -4t 10 + -4t = -4 + 6t + -6t Combine like terms: 6t + -6t = 0 10 + -4t = -4 + 0 10 + -4t = -4 Add '-10' to each side of the equation. 10 + -10 + -4t = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -4t = -4 + -10 -4t = -4 + -10 Combine like terms: -4 + -10 = -14 -4t = -14 Divide each side by '-4'. t = 3.5 Simplifying t = 3.5
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