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Simplifying 2(t + 11) = 4(t + -19) Reorder the terms: 2(11 + t) = 4(t + -19) (11 * 2 + t * 2) = 4(t + -19) (22 + 2t) = 4(t + -19) Reorder the terms: 22 + 2t = 4(-19 + t) 22 + 2t = (-19 * 4 + t * 4) 22 + 2t = (-76 + 4t) Solving 22 + 2t = -76 + 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. 22 + 2t + -4t = -76 + 4t + -4t Combine like terms: 2t + -4t = -2t 22 + -2t = -76 + 4t + -4t Combine like terms: 4t + -4t = 0 22 + -2t = -76 + 0 22 + -2t = -76 Add '-22' to each side of the equation. 22 + -22 + -2t = -76 + -22 Combine like terms: 22 + -22 = 0 0 + -2t = -76 + -22 -2t = -76 + -22 Combine like terms: -76 + -22 = -98 -2t = -98 Divide each side by '-2'. t = 49 Simplifying t = 49
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