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Simplifying 4(t + u) + 3 = 19 (t * 4 + u * 4) + 3 = 19 (4t + 4u) + 3 = 19 Reorder the terms: 3 + 4t + 4u = 19 Solving 3 + 4t + 4u = 19 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4t + -3 + 4u = 19 + -3 Reorder the terms: 3 + -3 + 4t + 4u = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 4t + 4u = 19 + -3 4t + 4u = 19 + -3 Combine like terms: 19 + -3 = 16 4t + 4u = 16 Add '-4u' to each side of the equation. 4t + 4u + -4u = 16 + -4u Combine like terms: 4u + -4u = 0 4t + 0 = 16 + -4u 4t = 16 + -4u Divide each side by '4'. t = 4 + -1u Simplifying t = 4 + -1u
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