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Simplifying -2(5t + 3) + 7t = 4t + -4 Reorder the terms: -2(3 + 5t) + 7t = 4t + -4 (3 * -2 + 5t * -2) + 7t = 4t + -4 (-6 + -10t) + 7t = 4t + -4 Combine like terms: -10t + 7t = -3t -6 + -3t = 4t + -4 Reorder the terms: -6 + -3t = -4 + 4t Solving -6 + -3t = -4 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -6 + -3t + -4t = -4 + 4t + -4t Combine like terms: -3t + -4t = -7t -6 + -7t = -4 + 4t + -4t Combine like terms: 4t + -4t = 0 -6 + -7t = -4 + 0 -6 + -7t = -4 Add '6' to each side of the equation. -6 + 6 + -7t = -4 + 6 Combine like terms: -6 + 6 = 0 0 + -7t = -4 + 6 -7t = -4 + 6 Combine like terms: -4 + 6 = 2 -7t = 2 Divide each side by '-7'. t = -0.2857142857 Simplifying t = -0.2857142857
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