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Simplifying 3(t + -4) + -3(2t + -4) = -4(t + 2) + -5 Reorder the terms: 3(-4 + t) + -3(2t + -4) = -4(t + 2) + -5 (-4 * 3 + t * 3) + -3(2t + -4) = -4(t + 2) + -5 (-12 + 3t) + -3(2t + -4) = -4(t + 2) + -5 Reorder the terms: -12 + 3t + -3(-4 + 2t) = -4(t + 2) + -5 -12 + 3t + (-4 * -3 + 2t * -3) = -4(t + 2) + -5 -12 + 3t + (12 + -6t) = -4(t + 2) + -5 Reorder the terms: -12 + 12 + 3t + -6t = -4(t + 2) + -5 Combine like terms: -12 + 12 = 0 0 + 3t + -6t = -4(t + 2) + -5 3t + -6t = -4(t + 2) + -5 Combine like terms: 3t + -6t = -3t -3t = -4(t + 2) + -5 Reorder the terms: -3t = -4(2 + t) + -5 -3t = (2 * -4 + t * -4) + -5 -3t = (-8 + -4t) + -5 Reorder the terms: -3t = -8 + -5 + -4t Combine like terms: -8 + -5 = -13 -3t = -13 + -4t Solving -3t = -13 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. -3t + 4t = -13 + -4t + 4t Combine like terms: -3t + 4t = 1t 1t = -13 + -4t + 4t Combine like terms: -4t + 4t = 0 1t = -13 + 0 1t = -13 Divide each side by '1'. t = -13 Simplifying t = -13
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