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Simplifying -2(t + -3) + 5t = 7t + -2 Reorder the terms: -2(-3 + t) + 5t = 7t + -2 (-3 * -2 + t * -2) + 5t = 7t + -2 (6 + -2t) + 5t = 7t + -2 Combine like terms: -2t + 5t = 3t 6 + 3t = 7t + -2 Reorder the terms: 6 + 3t = -2 + 7t Solving 6 + 3t = -2 + 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 = -2 + 7t + -7t Combine like terms: 3t + -7t = -4t 6 + -4t = -2 + 7t + -7t Combine like terms: 7t + -7t = 0 6 + -4t = -2 + 0 6 + -4t = -2 Add '-6' to each side of the equation. 6 + -6 + -4t = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -4t = -2 + -6 -4t = -2 + -6 Combine like terms: -2 + -6 = -8 -4t = -8 Divide each side by '-4'. t = 2 Simplifying t = 2
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