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Simplifying -2(t + -2) + 6t = 7t + -4 Reorder the terms: -2(-2 + t) + 6t = 7t + -4 (-2 * -2 + t * -2) + 6t = 7t + -4 (4 + -2t) + 6t = 7t + -4 Combine like terms: -2t + 6t = 4t 4 + 4t = 7t + -4 Reorder the terms: 4 + 4t = -4 + 7t Solving 4 + 4t = -4 + 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. 4 + 4t + -7t = -4 + 7t + -7t Combine like terms: 4t + -7t = -3t 4 + -3t = -4 + 7t + -7t Combine like terms: 7t + -7t = 0 4 + -3t = -4 + 0 4 + -3t = -4 Add '-4' to each side of the equation. 4 + -4 + -3t = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -3t = -4 + -4 -3t = -4 + -4 Combine like terms: -4 + -4 = -8 -3t = -8 Divide each side by '-3'. t = 2.666666667 Simplifying t = 2.666666667
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