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Simplifying -6 + -9t = 5(2 + -1t) -6 + -9t = (2 * 5 + -1t * 5) -6 + -9t = (10 + -5t) Solving -6 + -9t = 10 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. -6 + -9t + 5t = 10 + -5t + 5t Combine like terms: -9t + 5t = -4t -6 + -4t = 10 + -5t + 5t Combine like terms: -5t + 5t = 0 -6 + -4t = 10 + 0 -6 + -4t = 10 Add '6' to each side of the equation. -6 + 6 + -4t = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -4t = 10 + 6 -4t = 10 + 6 Combine like terms: 10 + 6 = 16 -4t = 16 Divide each side by '-4'. t = -4 Simplifying t = -4
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