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Simplifying 7(t + -3) = 2(c + -9) + 2c Reorder the terms: 7(-3 + t) = 2(c + -9) + 2c (-3 * 7 + t * 7) = 2(c + -9) + 2c (-21 + 7t) = 2(c + -9) + 2c Reorder the terms: -21 + 7t = 2(-9 + c) + 2c -21 + 7t = (-9 * 2 + c * 2) + 2c -21 + 7t = (-18 + 2c) + 2c Combine like terms: 2c + 2c = 4c -21 + 7t = -18 + 4c Solving -21 + 7t = -18 + 4c Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 7t = -18 + 21 + 4c Combine like terms: -21 + 21 = 0 0 + 7t = -18 + 21 + 4c 7t = -18 + 21 + 4c Combine like terms: -18 + 21 = 3 7t = 3 + 4c Divide each side by '7'. t = 0.4285714286 + 0.5714285714c Simplifying t = 0.4285714286 + 0.5714285714c
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