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Simplifying 11 = 6(t + -4) + -13 Reorder the terms: 11 = 6(-4 + t) + -13 11 = (-4 * 6 + t * 6) + -13 11 = (-24 + 6t) + -13 Reorder the terms: 11 = -24 + -13 + 6t Combine like terms: -24 + -13 = -37 11 = -37 + 6t Solving 11 = -37 + 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. 11 + -6t = -37 + 6t + -6t Combine like terms: 6t + -6t = 0 11 + -6t = -37 + 0 11 + -6t = -37 Add '-11' to each side of the equation. 11 + -11 + -6t = -37 + -11 Combine like terms: 11 + -11 = 0 0 + -6t = -37 + -11 -6t = -37 + -11 Combine like terms: -37 + -11 = -48 -6t = -48 Divide each side by '-6'. t = 8 Simplifying t = 8
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