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Simplifying 5(t + -2) + 6(t + -3) = 5 Reorder the terms: 5(-2 + t) + 6(t + -3) = 5 (-2 * 5 + t * 5) + 6(t + -3) = 5 (-10 + 5t) + 6(t + -3) = 5 Reorder the terms: -10 + 5t + 6(-3 + t) = 5 -10 + 5t + (-3 * 6 + t * 6) = 5 -10 + 5t + (-18 + 6t) = 5 Reorder the terms: -10 + -18 + 5t + 6t = 5 Combine like terms: -10 + -18 = -28 -28 + 5t + 6t = 5 Combine like terms: 5t + 6t = 11t -28 + 11t = 5 Solving -28 + 11t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 11t = 5 + 28 Combine like terms: -28 + 28 = 0 0 + 11t = 5 + 28 11t = 5 + 28 Combine like terms: 5 + 28 = 33 11t = 33 Divide each side by '11'. t = 3 Simplifying t = 3
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