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Simplifying 3(t + -4) = -2(t + 3) + 14 Reorder the terms: 3(-4 + t) = -2(t + 3) + 14 (-4 * 3 + t * 3) = -2(t + 3) + 14 (-12 + 3t) = -2(t + 3) + 14 Reorder the terms: -12 + 3t = -2(3 + t) + 14 -12 + 3t = (3 * -2 + t * -2) + 14 -12 + 3t = (-6 + -2t) + 14 Reorder the terms: -12 + 3t = -6 + 14 + -2t Combine like terms: -6 + 14 = 8 -12 + 3t = 8 + -2t Solving -12 + 3t = 8 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -12 + 3t + 2t = 8 + -2t + 2t Combine like terms: 3t + 2t = 5t -12 + 5t = 8 + -2t + 2t Combine like terms: -2t + 2t = 0 -12 + 5t = 8 + 0 -12 + 5t = 8 Add '12' to each side of the equation. -12 + 12 + 5t = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 5t = 8 + 12 5t = 8 + 12 Combine like terms: 8 + 12 = 20 5t = 20 Divide each side by '5'. t = 4 Simplifying t = 4
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