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Simplifying 4(t + 1) = 6t + -2 Reorder the terms: 4(1 + t) = 6t + -2 (1 * 4 + t * 4) = 6t + -2 (4 + 4t) = 6t + -2 Reorder the terms: 4 + 4t = -2 + 6t Solving 4 + 4t = -2 + 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. 4 + 4t + -6t = -2 + 6t + -6t Combine like terms: 4t + -6t = -2t 4 + -2t = -2 + 6t + -6t Combine like terms: 6t + -6t = 0 4 + -2t = -2 + 0 4 + -2t = -2 Add '-4' to each side of the equation. 4 + -4 + -2t = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -2t = -2 + -4 -2t = -2 + -4 Combine like terms: -2 + -4 = -6 -2t = -6 Divide each side by '-2'. t = 3 Simplifying t = 3
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