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Simplifying 18(5t + -6) = 10(3t) Reorder the terms: 18(-6 + 5t) = 10(3t) (-6 * 18 + 5t * 18) = 10(3t) (-108 + 90t) = 10(3t) Remove parenthesis around (3t) -108 + 90t = 10 * 3t Multiply 10 * 3 -108 + 90t = 30t Solving -108 + 90t = 30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30t' to each side of the equation. -108 + 90t + -30t = 30t + -30t Combine like terms: 90t + -30t = 60t -108 + 60t = 30t + -30t Combine like terms: 30t + -30t = 0 -108 + 60t = 0 Add '108' to each side of the equation. -108 + 108 + 60t = 0 + 108 Combine like terms: -108 + 108 = 0 0 + 60t = 0 + 108 60t = 0 + 108 Combine like terms: 0 + 108 = 108 60t = 108 Divide each side by '60'. t = 1.8 Simplifying t = 1.8
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