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Simplifying 6(-3 + 1) = 5(2 + t) Combine like terms: -3 + 1 = -2 6(-2) = 5(2 + t) Multiply 6 * -2 -12 = 5(2 + t) -12 = (2 * 5 + t * 5) -12 = (10 + 5t) Solving -12 = 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. -12 + -5t = 10 + 5t + -5t Combine like terms: 5t + -5t = 0 -12 + -5t = 10 + 0 -12 + -5t = 10 Add '12' to each side of the equation. -12 + 12 + -5t = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -5t = 10 + 12 -5t = 10 + 12 Combine like terms: 10 + 12 = 22 -5t = 22 Divide each side by '-5'. t = -4.4 Simplifying t = -4.4
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