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Simplifying 4(t + 3) = 6(t + 3) Reorder the terms: 4(3 + t) = 6(t + 3) (3 * 4 + t * 4) = 6(t + 3) (12 + 4t) = 6(t + 3) Reorder the terms: 12 + 4t = 6(3 + t) 12 + 4t = (3 * 6 + t * 6) 12 + 4t = (18 + 6t) Solving 12 + 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. 12 + 4t + -6t = 18 + 6t + -6t Combine like terms: 4t + -6t = -2t 12 + -2t = 18 + 6t + -6t Combine like terms: 6t + -6t = 0 12 + -2t = 18 + 0 12 + -2t = 18 Add '-12' to each side of the equation. 12 + -12 + -2t = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -2t = 18 + -12 -2t = 18 + -12 Combine like terms: 18 + -12 = 6 -2t = 6 Divide each side by '-2'. t = -3 Simplifying t = -3
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