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Simplifying 3(3t + -2) = 5t + 10 Reorder the terms: 3(-2 + 3t) = 5t + 10 (-2 * 3 + 3t * 3) = 5t + 10 (-6 + 9t) = 5t + 10 Reorder the terms: -6 + 9t = 10 + 5t Solving -6 + 9t = 10 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -6 + 9t + -5t = 10 + 5t + -5t Combine like terms: 9t + -5t = 4t -6 + 4t = 10 + 5t + -5t Combine like terms: 5t + -5t = 0 -6 + 4t = 10 + 0 -6 + 4t = 10 Add '6' to each side of the equation. -6 + 6 + 4t = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 4t = 10 + 6 4t = 10 + 6 Combine like terms: 10 + 6 = 16 4t = 16 Divide each side by '4'. t = 4 Simplifying t = 4
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