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Simplifying 5(t + 11) = 7(t + -19) Reorder the terms: 5(11 + t) = 7(t + -19) (11 * 5 + t * 5) = 7(t + -19) (55 + 5t) = 7(t + -19) Reorder the terms: 55 + 5t = 7(-19 + t) 55 + 5t = (-19 * 7 + t * 7) 55 + 5t = (-133 + 7t) Solving 55 + 5t = -133 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 55 + 5t + -7t = -133 + 7t + -7t Combine like terms: 5t + -7t = -2t 55 + -2t = -133 + 7t + -7t Combine like terms: 7t + -7t = 0 55 + -2t = -133 + 0 55 + -2t = -133 Add '-55' to each side of the equation. 55 + -55 + -2t = -133 + -55 Combine like terms: 55 + -55 = 0 0 + -2t = -133 + -55 -2t = -133 + -55 Combine like terms: -133 + -55 = -188 -2t = -188 Divide each side by '-2'. t = 94 Simplifying t = 94
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