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Simplifying 6(11t + -4) + -7(6t + -1) = 47 Reorder the terms: 6(-4 + 11t) + -7(6t + -1) = 47 (-4 * 6 + 11t * 6) + -7(6t + -1) = 47 (-24 + 66t) + -7(6t + -1) = 47 Reorder the terms: -24 + 66t + -7(-1 + 6t) = 47 -24 + 66t + (-1 * -7 + 6t * -7) = 47 -24 + 66t + (7 + -42t) = 47 Reorder the terms: -24 + 7 + 66t + -42t = 47 Combine like terms: -24 + 7 = -17 -17 + 66t + -42t = 47 Combine like terms: 66t + -42t = 24t -17 + 24t = 47 Solving -17 + 24t = 47 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 24t = 47 + 17 Combine like terms: -17 + 17 = 0 0 + 24t = 47 + 17 24t = 47 + 17 Combine like terms: 47 + 17 = 64 24t = 64 Divide each side by '24'. t = 2.666666667 Simplifying t = 2.666666667
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