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Simplifying -3(t + -2) + 6t = 7t + -5 Reorder the terms: -3(-2 + t) + 6t = 7t + -5 (-2 * -3 + t * -3) + 6t = 7t + -5 (6 + -3t) + 6t = 7t + -5 Combine like terms: -3t + 6t = 3t 6 + 3t = 7t + -5 Reorder the terms: 6 + 3t = -5 + 7t Solving 6 + 3t = -5 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 6 + 3t + -7t = -5 + 7t + -7t Combine like terms: 3t + -7t = -4t 6 + -4t = -5 + 7t + -7t Combine like terms: 7t + -7t = 0 6 + -4t = -5 + 0 6 + -4t = -5 Add '-6' to each side of the equation. 6 + -6 + -4t = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -4t = -5 + -6 -4t = -5 + -6 Combine like terms: -5 + -6 = -11 -4t = -11 Divide each side by '-4'. t = 2.75 Simplifying t = 2.75
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