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Simplifying 2(6 + -1t) = 15(2t) (6 * 2 + -1t * 2) = 15(2t) (12 + -2t) = 15(2t) Remove parenthesis around (2t) 12 + -2t = 15 * 2t Multiply 15 * 2 12 + -2t = 30t Solving 12 + -2t = 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. 12 + -2t + -30t = 30t + -30t Combine like terms: -2t + -30t = -32t 12 + -32t = 30t + -30t Combine like terms: 30t + -30t = 0 12 + -32t = 0 Add '-12' to each side of the equation. 12 + -12 + -32t = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -32t = 0 + -12 -32t = 0 + -12 Combine like terms: 0 + -12 = -12 -32t = -12 Divide each side by '-32'. t = 0.375 Simplifying t = 0.375
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