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Simplifying 7(t + -3) = 2(c + -9) + 2t Reorder the terms: 7(-3 + t) = 2(c + -9) + 2t (-3 * 7 + t * 7) = 2(c + -9) + 2t (-21 + 7t) = 2(c + -9) + 2t Reorder the terms: -21 + 7t = 2(-9 + c) + 2t -21 + 7t = (-9 * 2 + c * 2) + 2t -21 + 7t = (-18 + 2c) + 2t Solving -21 + 7t = -18 + 2c + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -21 + 7t + -2t = -18 + 2c + 2t + -2t Combine like terms: 7t + -2t = 5t -21 + 5t = -18 + 2c + 2t + -2t Combine like terms: 2t + -2t = 0 -21 + 5t = -18 + 2c + 0 -21 + 5t = -18 + 2c Add '21' to each side of the equation. -21 + 21 + 5t = -18 + 21 + 2c Combine like terms: -21 + 21 = 0 0 + 5t = -18 + 21 + 2c 5t = -18 + 21 + 2c Combine like terms: -18 + 21 = 3 5t = 3 + 2c Divide each side by '5'. t = 0.6 + 0.4c Simplifying t = 0.6 + 0.4c
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