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Simplifying 11(t + -4) + 7 = 6(3t + 5) + -11 Reorder the terms: 11(-4 + t) + 7 = 6(3t + 5) + -11 (-4 * 11 + t * 11) + 7 = 6(3t + 5) + -11 (-44 + 11t) + 7 = 6(3t + 5) + -11 Reorder the terms: -44 + 7 + 11t = 6(3t + 5) + -11 Combine like terms: -44 + 7 = -37 -37 + 11t = 6(3t + 5) + -11 Reorder the terms: -37 + 11t = 6(5 + 3t) + -11 -37 + 11t = (5 * 6 + 3t * 6) + -11 -37 + 11t = (30 + 18t) + -11 Reorder the terms: -37 + 11t = 30 + -11 + 18t Combine like terms: 30 + -11 = 19 -37 + 11t = 19 + 18t Solving -37 + 11t = 19 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. -37 + 11t + -18t = 19 + 18t + -18t Combine like terms: 11t + -18t = -7t -37 + -7t = 19 + 18t + -18t Combine like terms: 18t + -18t = 0 -37 + -7t = 19 + 0 -37 + -7t = 19 Add '37' to each side of the equation. -37 + 37 + -7t = 19 + 37 Combine like terms: -37 + 37 = 0 0 + -7t = 19 + 37 -7t = 19 + 37 Combine like terms: 19 + 37 = 56 -7t = 56 Divide each side by '-7'. t = -8 Simplifying t = -8
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