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Simplifying 3(2t + -7) + -1(3t + 4) = 8t Reorder the terms: 3(-7 + 2t) + -1(3t + 4) = 8t (-7 * 3 + 2t * 3) + -1(3t + 4) = 8t (-21 + 6t) + -1(3t + 4) = 8t Reorder the terms: -21 + 6t + -1(4 + 3t) = 8t -21 + 6t + (4 * -1 + 3t * -1) = 8t -21 + 6t + (-4 + -3t) = 8t Reorder the terms: -21 + -4 + 6t + -3t = 8t Combine like terms: -21 + -4 = -25 -25 + 6t + -3t = 8t Combine like terms: 6t + -3t = 3t -25 + 3t = 8t Solving -25 + 3t = 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -25 + 3t + -8t = 8t + -8t Combine like terms: 3t + -8t = -5t -25 + -5t = 8t + -8t Combine like terms: 8t + -8t = 0 -25 + -5t = 0 Add '25' to each side of the equation. -25 + 25 + -5t = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -5t = 0 + 25 -5t = 0 + 25 Combine like terms: 0 + 25 = 25 -5t = 25 Divide each side by '-5'. t = -5 Simplifying t = -5
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