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Simplifying 2(t + -3) + -5(2t + 2) = -24 Reorder the terms: 2(-3 + t) + -5(2t + 2) = -24 (-3 * 2 + t * 2) + -5(2t + 2) = -24 (-6 + 2t) + -5(2t + 2) = -24 Reorder the terms: -6 + 2t + -5(2 + 2t) = -24 -6 + 2t + (2 * -5 + 2t * -5) = -24 -6 + 2t + (-10 + -10t) = -24 Reorder the terms: -6 + -10 + 2t + -10t = -24 Combine like terms: -6 + -10 = -16 -16 + 2t + -10t = -24 Combine like terms: 2t + -10t = -8t -16 + -8t = -24 Solving -16 + -8t = -24 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -8t = -24 + 16 Combine like terms: -16 + 16 = 0 0 + -8t = -24 + 16 -8t = -24 + 16 Combine like terms: -24 + 16 = -8 -8t = -8 Divide each side by '-8'. t = 1 Simplifying t = 1
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