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Simplifying 4(t + 3) = 3(2t + -6) Reorder the terms: 4(3 + t) = 3(2t + -6) (3 * 4 + t * 4) = 3(2t + -6) (12 + 4t) = 3(2t + -6) Reorder the terms: 12 + 4t = 3(-6 + 2t) 12 + 4t = (-6 * 3 + 2t * 3) 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 = -30 -2t = -30 Divide each side by '-2'. t = 15 Simplifying t = 15
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