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Simplifying -5(t + 1) + -1t + -6 = 6(t + -2) + -16 Reorder the terms: -5(1 + t) + -1t + -6 = 6(t + -2) + -16 (1 * -5 + t * -5) + -1t + -6 = 6(t + -2) + -16 (-5 + -5t) + -1t + -6 = 6(t + -2) + -16 Reorder the terms: -5 + -6 + -5t + -1t = 6(t + -2) + -16 Combine like terms: -5 + -6 = -11 -11 + -5t + -1t = 6(t + -2) + -16 Combine like terms: -5t + -1t = -6t -11 + -6t = 6(t + -2) + -16 Reorder the terms: -11 + -6t = 6(-2 + t) + -16 -11 + -6t = (-2 * 6 + t * 6) + -16 -11 + -6t = (-12 + 6t) + -16 Reorder the terms: -11 + -6t = -12 + -16 + 6t Combine like terms: -12 + -16 = -28 -11 + -6t = -28 + 6t Solving -11 + -6t = -28 + 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 + -6t = -28 + 6t + -6t Combine like terms: -6t + -6t = -12t -11 + -12t = -28 + 6t + -6t Combine like terms: 6t + -6t = 0 -11 + -12t = -28 + 0 -11 + -12t = -28 Add '11' to each side of the equation. -11 + 11 + -12t = -28 + 11 Combine like terms: -11 + 11 = 0 0 + -12t = -28 + 11 -12t = -28 + 11 Combine like terms: -28 + 11 = -17 -12t = -17 Divide each side by '-12'. t = 1.416666667 Simplifying t = 1.416666667
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