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Simplifying -8 + -1(t + 5) = -6(t + -2) Reorder the terms: -8 + -1(5 + t) = -6(t + -2) -8 + (5 * -1 + t * -1) = -6(t + -2) -8 + (-5 + -1t) = -6(t + -2) Combine like terms: -8 + -5 = -13 -13 + -1t = -6(t + -2) Reorder the terms: -13 + -1t = -6(-2 + t) -13 + -1t = (-2 * -6 + t * -6) -13 + -1t = (12 + -6t) Solving -13 + -1t = 12 + -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. -13 + -1t + 6t = 12 + -6t + 6t Combine like terms: -1t + 6t = 5t -13 + 5t = 12 + -6t + 6t Combine like terms: -6t + 6t = 0 -13 + 5t = 12 + 0 -13 + 5t = 12 Add '13' to each side of the equation. -13 + 13 + 5t = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 5t = 12 + 13 5t = 12 + 13 Combine like terms: 12 + 13 = 25 5t = 25 Divide each side by '5'. t = 5 Simplifying t = 5
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