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Simplifying 3(t + -4) + -2(2t + 3) = -4 Reorder the terms: 3(-4 + t) + -2(2t + 3) = -4 (-4 * 3 + t * 3) + -2(2t + 3) = -4 (-12 + 3t) + -2(2t + 3) = -4 Reorder the terms: -12 + 3t + -2(3 + 2t) = -4 -12 + 3t + (3 * -2 + 2t * -2) = -4 -12 + 3t + (-6 + -4t) = -4 Reorder the terms: -12 + -6 + 3t + -4t = -4 Combine like terms: -12 + -6 = -18 -18 + 3t + -4t = -4 Combine like terms: 3t + -4t = -1t -18 + -1t = -4 Solving -18 + -1t = -4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1t = -4 + 18 Combine like terms: -18 + 18 = 0 0 + -1t = -4 + 18 -1t = -4 + 18 Combine like terms: -4 + 18 = 14 -1t = 14 Divide each side by '-1'. t = -14 Simplifying t = -14
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