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Simplifying 6(t + -11) = 9(t + -4) Reorder the terms: 6(-11 + t) = 9(t + -4) (-11 * 6 + t * 6) = 9(t + -4) (-66 + 6t) = 9(t + -4) Reorder the terms: -66 + 6t = 9(-4 + t) -66 + 6t = (-4 * 9 + t * 9) -66 + 6t = (-36 + 9t) Solving -66 + 6t = -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. -66 + 6t + -9t = -36 + 9t + -9t Combine like terms: 6t + -9t = -3t -66 + -3t = -36 + 9t + -9t Combine like terms: 9t + -9t = 0 -66 + -3t = -36 + 0 -66 + -3t = -36 Add '66' to each side of the equation. -66 + 66 + -3t = -36 + 66 Combine like terms: -66 + 66 = 0 0 + -3t = -36 + 66 -3t = -36 + 66 Combine like terms: -36 + 66 = 30 -3t = 30 Divide each side by '-3'. t = -10 Simplifying t = -10
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