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Simplifying 6(x + 4) + -1t = t Reorder the terms: 6(4 + x) + -1t = t (4 * 6 + x * 6) + -1t = t (24 + 6x) + -1t = t Reorder the terms: 24 + -1t + 6x = t Solving 24 + -1t + 6x = t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 24 + -1t + -1t + 6x = t + -1t Combine like terms: -1t + -1t = -2t 24 + -2t + 6x = t + -1t Combine like terms: t + -1t = 0 24 + -2t + 6x = 0 Add '-24' to each side of the equation. 24 + -2t + -24 + 6x = 0 + -24 Reorder the terms: 24 + -24 + -2t + 6x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -2t + 6x = 0 + -24 -2t + 6x = 0 + -24 Combine like terms: 0 + -24 = -24 -2t + 6x = -24 Add '-6x' to each side of the equation. -2t + 6x + -6x = -24 + -6x Combine like terms: 6x + -6x = 0 -2t + 0 = -24 + -6x -2t = -24 + -6x Divide each side by '-2'. t = 12 + 3x Simplifying t = 12 + 3x
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