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Simplifying 6(t + 7) + -46 = 0 Reorder the terms: 6(7 + t) + -46 = 0 (7 * 6 + t * 6) + -46 = 0 (42 + 6t) + -46 = 0 Reorder the terms: 42 + -46 + 6t = 0 Combine like terms: 42 + -46 = -4 -4 + 6t = 0 Solving -4 + 6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 6t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6t = 0 + 4 6t = 0 + 4 Combine like terms: 0 + 4 = 4 6t = 4 Divide each side by '6'. t = 0.6666666667 Simplifying t = 0.6666666667
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