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Simplifying -3(t + 5) + (t + 2) = 8 Reorder the terms: -3(5 + t) + (t + 2) = 8 (5 * -3 + t * -3) + (t + 2) = 8 (-15 + -3t) + (t + 2) = 8 Reorder the terms: -15 + -3t + (2 + t) = 8 Remove parenthesis around (2 + t) -15 + -3t + 2 + t = 8 Reorder the terms: -15 + 2 + -3t + t = 8 Combine like terms: -15 + 2 = -13 -13 + -3t + t = 8 Combine like terms: -3t + t = -2t -13 + -2t = 8 Solving -13 + -2t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2t = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -2t = 8 + 13 -2t = 8 + 13 Combine like terms: 8 + 13 = 21 -2t = 21 Divide each side by '-2'. t = -10.5 Simplifying t = -10.5
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