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Simplifying 2t + 10 = 4t + 19 Reorder the terms: 10 + 2t = 4t + 19 Reorder the terms: 10 + 2t = 19 + 4t Solving 10 + 2t = 19 + 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. 10 + 2t + -4t = 19 + 4t + -4t Combine like terms: 2t + -4t = -2t 10 + -2t = 19 + 4t + -4t Combine like terms: 4t + -4t = 0 10 + -2t = 19 + 0 10 + -2t = 19 Add '-10' to each side of the equation. 10 + -10 + -2t = 19 + -10 Combine like terms: 10 + -10 = 0 0 + -2t = 19 + -10 -2t = 19 + -10 Combine like terms: 19 + -10 = 9 -2t = 9 Divide each side by '-2'. t = -4.5 Simplifying t = -4.5
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