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Simplifying 7x + 3t + -6y + 24 = 23 + -9x Reorder the terms: 24 + 3t + 7x + -6y = 23 + -9x Solving 24 + 3t + 7x + -6y = 23 + -9x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 3t + 7x + -24 + -6y = 23 + -24 + -9x Reorder the terms: 24 + -24 + 3t + 7x + -6y = 23 + -24 + -9x Combine like terms: 24 + -24 = 0 0 + 3t + 7x + -6y = 23 + -24 + -9x 3t + 7x + -6y = 23 + -24 + -9x Combine like terms: 23 + -24 = -1 3t + 7x + -6y = -1 + -9x Add '-7x' to each side of the equation. 3t + 7x + -7x + -6y = -1 + -9x + -7x Combine like terms: 7x + -7x = 0 3t + 0 + -6y = -1 + -9x + -7x 3t + -6y = -1 + -9x + -7x Combine like terms: -9x + -7x = -16x 3t + -6y = -1 + -16x Add '6y' to each side of the equation. 3t + -6y + 6y = -1 + -16x + 6y Combine like terms: -6y + 6y = 0 3t + 0 = -1 + -16x + 6y 3t = -1 + -16x + 6y Divide each side by '3'. t = -0.3333333333 + -5.333333333x + 2y Simplifying t = -0.3333333333 + -5.333333333x + 2y
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