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Simplifying 3(t + -4) = 5t Reorder the terms: 3(-4 + t) = 5t (-4 * 3 + t * 3) = 5t (-12 + 3t) = 5t Solving -12 + 3t = 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -12 + 3t + -5t = 5t + -5t Combine like terms: 3t + -5t = -2t -12 + -2t = 5t + -5t Combine like terms: 5t + -5t = 0 -12 + -2t = 0 Add '12' to each side of the equation. -12 + 12 + -2t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2t = 0 + 12 -2t = 0 + 12 Combine like terms: 0 + 12 = 12 -2t = 12 Divide each side by '-2'. t = -6 Simplifying t = -6
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