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Simplifying 5(t + -3) + -3(2 + -1t) = 0 Reorder the terms: 5(-3 + t) + -3(2 + -1t) = 0 (-3 * 5 + t * 5) + -3(2 + -1t) = 0 (-15 + 5t) + -3(2 + -1t) = 0 -15 + 5t + (2 * -3 + -1t * -3) = 0 -15 + 5t + (-6 + 3t) = 0 Reorder the terms: -15 + -6 + 5t + 3t = 0 Combine like terms: -15 + -6 = -21 -21 + 5t + 3t = 0 Combine like terms: 5t + 3t = 8t -21 + 8t = 0 Solving -21 + 8t = 0 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 + 8t = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 8t = 0 + 21 8t = 0 + 21 Combine like terms: 0 + 21 = 21 8t = 21 Divide each side by '8'. t = 2.625 Simplifying t = 2.625
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