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Simplifying 2(t + -4) + -1(-3) = 19 Reorder the terms: 2(-4 + t) + -1(-3) = 19 (-4 * 2 + t * 2) + -1(-3) = 19 (-8 + 2t) + -1(-3) = 19 Multiply -1 * -3 -8 + 2t + 3 = 19 Reorder the terms: -8 + 3 + 2t = 19 Combine like terms: -8 + 3 = -5 -5 + 2t = 19 Solving -5 + 2t = 19 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2t = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 2t = 19 + 5 2t = 19 + 5 Combine like terms: 19 + 5 = 24 2t = 24 Divide each side by '2'. t = 12 Simplifying t = 12
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