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Simplifying 4(t + 9) = 6(t + 7) Reorder the terms: 4(9 + t) = 6(t + 7) (9 * 4 + t * 4) = 6(t + 7) (36 + 4t) = 6(t + 7) Reorder the terms: 36 + 4t = 6(7 + t) 36 + 4t = (7 * 6 + t * 6) 36 + 4t = (42 + 6t) Solving 36 + 4t = 42 + 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. 36 + 4t + -6t = 42 + 6t + -6t Combine like terms: 4t + -6t = -2t 36 + -2t = 42 + 6t + -6t Combine like terms: 6t + -6t = 0 36 + -2t = 42 + 0 36 + -2t = 42 Add '-36' to each side of the equation. 36 + -36 + -2t = 42 + -36 Combine like terms: 36 + -36 = 0 0 + -2t = 42 + -36 -2t = 42 + -36 Combine like terms: 42 + -36 = 6 -2t = 6 Divide each side by '-2'. t = -3 Simplifying t = -3
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