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Simplifying -4 = 3 + -6(t + -5) Reorder the terms: -4 = 3 + -6(-5 + t) -4 = 3 + (-5 * -6 + t * -6) -4 = 3 + (30 + -6t) Combine like terms: 3 + 30 = 33 -4 = 33 + -6t Solving -4 = 33 + -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. -4 + 6t = 33 + -6t + 6t Combine like terms: -6t + 6t = 0 -4 + 6t = 33 + 0 -4 + 6t = 33 Add '4' to each side of the equation. -4 + 4 + 6t = 33 + 4 Combine like terms: -4 + 4 = 0 0 + 6t = 33 + 4 6t = 33 + 4 Combine like terms: 33 + 4 = 37 6t = 37 Divide each side by '6'. t = 6.166666667 Simplifying t = 6.166666667
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