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Simplifying 14t + -1 = (1 + -2t)(-3) + 12 Reorder the terms: -1 + 14t = (1 + -2t)(-3) + 12 Reorder the terms for easier multiplication: -1 + 14t = -3(1 + -2t) + 12 -1 + 14t = (1 * -3 + -2t * -3) + 12 -1 + 14t = (-3 + 6t) + 12 Reorder the terms: -1 + 14t = -3 + 12 + 6t Combine like terms: -3 + 12 = 9 -1 + 14t = 9 + 6t Solving -1 + 14t = 9 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -1 + 14t + -6t = 9 + 6t + -6t Combine like terms: 14t + -6t = 8t -1 + 8t = 9 + 6t + -6t Combine like terms: 6t + -6t = 0 -1 + 8t = 9 + 0 -1 + 8t = 9 Add '1' to each side of the equation. -1 + 1 + 8t = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 8t = 9 + 1 8t = 9 + 1 Combine like terms: 9 + 1 = 10 8t = 10 Divide each side by '8'. t = 1.25 Simplifying t = 1.25
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