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Simplifying 4(t + 11) = 6(t + -19) Reorder the terms: 4(11 + t) = 6(t + -19) (11 * 4 + t * 4) = 6(t + -19) (44 + 4t) = 6(t + -19) Reorder the terms: 44 + 4t = 6(-19 + t) 44 + 4t = (-19 * 6 + t * 6) 44 + 4t = (-114 + 6t) Solving 44 + 4t = -114 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 44 + 4t + -6t = -114 + 6t + -6t Combine like terms: 4t + -6t = -2t 44 + -2t = -114 + 6t + -6t Combine like terms: 6t + -6t = 0 44 + -2t = -114 + 0 44 + -2t = -114 Add '-44' to each side of the equation. 44 + -44 + -2t = -114 + -44 Combine like terms: 44 + -44 = 0 0 + -2t = -114 + -44 -2t = -114 + -44 Combine like terms: -114 + -44 = -158 -2t = -158 Divide each side by '-2'. t = 79 Simplifying t = 79
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