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Simplifying 2(t + -12) + 2(t + 3) = -4(t + 5) + -3 Reorder the terms: 2(-12 + t) + 2(t + 3) = -4(t + 5) + -3 (-12 * 2 + t * 2) + 2(t + 3) = -4(t + 5) + -3 (-24 + 2t) + 2(t + 3) = -4(t + 5) + -3 Reorder the terms: -24 + 2t + 2(3 + t) = -4(t + 5) + -3 -24 + 2t + (3 * 2 + t * 2) = -4(t + 5) + -3 -24 + 2t + (6 + 2t) = -4(t + 5) + -3 Reorder the terms: -24 + 6 + 2t + 2t = -4(t + 5) + -3 Combine like terms: -24 + 6 = -18 -18 + 2t + 2t = -4(t + 5) + -3 Combine like terms: 2t + 2t = 4t -18 + 4t = -4(t + 5) + -3 Reorder the terms: -18 + 4t = -4(5 + t) + -3 -18 + 4t = (5 * -4 + t * -4) + -3 -18 + 4t = (-20 + -4t) + -3 Reorder the terms: -18 + 4t = -20 + -3 + -4t Combine like terms: -20 + -3 = -23 -18 + 4t = -23 + -4t Solving -18 + 4t = -23 + -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. -18 + 4t + 4t = -23 + -4t + 4t Combine like terms: 4t + 4t = 8t -18 + 8t = -23 + -4t + 4t Combine like terms: -4t + 4t = 0 -18 + 8t = -23 + 0 -18 + 8t = -23 Add '18' to each side of the equation. -18 + 18 + 8t = -23 + 18 Combine like terms: -18 + 18 = 0 0 + 8t = -23 + 18 8t = -23 + 18 Combine like terms: -23 + 18 = -5 8t = -5 Divide each side by '8'. t = -0.625 Simplifying t = -0.625
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