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Simplifying 6(t + 7) = 9 + t Reorder the terms: 6(7 + t) = 9 + t (7 * 6 + t * 6) = 9 + t (42 + 6t) = 9 + t Solving 42 + 6t = 9 + 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. 42 + 6t + -1t = 9 + t + -1t Combine like terms: 6t + -1t = 5t 42 + 5t = 9 + t + -1t Combine like terms: t + -1t = 0 42 + 5t = 9 + 0 42 + 5t = 9 Add '-42' to each side of the equation. 42 + -42 + 5t = 9 + -42 Combine like terms: 42 + -42 = 0 0 + 5t = 9 + -42 5t = 9 + -42 Combine like terms: 9 + -42 = -33 5t = -33 Divide each side by '5'. t = -6.6 Simplifying t = -6.6
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