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Simplifying 4(t + 4) = 6(t + 3) Reorder the terms: 4(4 + t) = 6(t + 3) (4 * 4 + t * 4) = 6(t + 3) (16 + 4t) = 6(t + 3) Reorder the terms: 16 + 4t = 6(3 + t) 16 + 4t = (3 * 6 + t * 6) 16 + 4t = (18 + 6t) Solving 16 + 4t = 18 + 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. 16 + 4t + -6t = 18 + 6t + -6t Combine like terms: 4t + -6t = -2t 16 + -2t = 18 + 6t + -6t Combine like terms: 6t + -6t = 0 16 + -2t = 18 + 0 16 + -2t = 18 Add '-16' to each side of the equation. 16 + -16 + -2t = 18 + -16 Combine like terms: 16 + -16 = 0 0 + -2t = 18 + -16 -2t = 18 + -16 Combine like terms: 18 + -16 = 2 -2t = 2 Divide each side by '-2'. t = -1 Simplifying t = -1
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