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Simplifying 7(t + -3) = 2(2 + -9) + 2t Reorder the terms: 7(-3 + t) = 2(2 + -9) + 2t (-3 * 7 + t * 7) = 2(2 + -9) + 2t (-21 + 7t) = 2(2 + -9) + 2t Combine like terms: 2 + -9 = -7 -21 + 7t = 2(-7) + 2t Multiply 2 * -7 -21 + 7t = -14 + 2t Solving -21 + 7t = -14 + 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 = -14 + 2t + -2t Combine like terms: 7t + -2t = 5t -21 + 5t = -14 + 2t + -2t Combine like terms: 2t + -2t = 0 -21 + 5t = -14 + 0 -21 + 5t = -14 Add '21' to each side of the equation. -21 + 21 + 5t = -14 + 21 Combine like terms: -21 + 21 = 0 0 + 5t = -14 + 21 5t = -14 + 21 Combine like terms: -14 + 21 = 7 5t = 7 Divide each side by '5'. t = 1.4 Simplifying t = 1.4
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