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Simplifying 6(2 + -1) = 9(t + -4) Combine like terms: 2 + -1 = 1 6(1) = 9(t + -4) Multiply 6 * 1 6 = 9(t + -4) Reorder the terms: 6 = 9(-4 + t) 6 = (-4 * 9 + t * 9) 6 = (-36 + 9t) Solving 6 = -36 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 6 + -9t = -36 + 9t + -9t Combine like terms: 9t + -9t = 0 6 + -9t = -36 + 0 6 + -9t = -36 Add '-6' to each side of the equation. 6 + -6 + -9t = -36 + -6 Combine like terms: 6 + -6 = 0 0 + -9t = -36 + -6 -9t = -36 + -6 Combine like terms: -36 + -6 = -42 -9t = -42 Divide each side by '-9'. t = 4.666666667 Simplifying t = 4.666666667
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