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Simplifying 3t + 8(2x + -6) = 2 + 14x Reorder the terms: 3t + 8(-6 + 2x) = 2 + 14x 3t + (-6 * 8 + 2x * 8) = 2 + 14x 3t + (-48 + 16x) = 2 + 14x Reorder the terms: -48 + 3t + 16x = 2 + 14x Solving -48 + 3t + 16x = 2 + 14x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 3t + 48 + 16x = 2 + 48 + 14x Reorder the terms: -48 + 48 + 3t + 16x = 2 + 48 + 14x Combine like terms: -48 + 48 = 0 0 + 3t + 16x = 2 + 48 + 14x 3t + 16x = 2 + 48 + 14x Combine like terms: 2 + 48 = 50 3t + 16x = 50 + 14x Add '-16x' to each side of the equation. 3t + 16x + -16x = 50 + 14x + -16x Combine like terms: 16x + -16x = 0 3t + 0 = 50 + 14x + -16x 3t = 50 + 14x + -16x Combine like terms: 14x + -16x = -2x 3t = 50 + -2x Divide each side by '3'. t = 16.66666667 + -0.6666666667x Simplifying t = 16.66666667 + -0.6666666667x
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