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Simplifying 9 + -5(t + 3) = -1 + 2(t + 3) Reorder the terms: 9 + -5(3 + t) = -1 + 2(t + 3) 9 + (3 * -5 + t * -5) = -1 + 2(t + 3) 9 + (-15 + -5t) = -1 + 2(t + 3) Combine like terms: 9 + -15 = -6 -6 + -5t = -1 + 2(t + 3) Reorder the terms: -6 + -5t = -1 + 2(3 + t) -6 + -5t = -1 + (3 * 2 + t * 2) -6 + -5t = -1 + (6 + 2t) Combine like terms: -1 + 6 = 5 -6 + -5t = 5 + 2t Solving -6 + -5t = 5 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -6 + -5t + -2t = 5 + 2t + -2t Combine like terms: -5t + -2t = -7t -6 + -7t = 5 + 2t + -2t Combine like terms: 2t + -2t = 0 -6 + -7t = 5 + 0 -6 + -7t = 5 Add '6' to each side of the equation. -6 + 6 + -7t = 5 + 6 Combine like terms: -6 + 6 = 0 0 + -7t = 5 + 6 -7t = 5 + 6 Combine like terms: 5 + 6 = 11 -7t = 11 Divide each side by '-7'. t = -1.571428571 Simplifying t = -1.571428571
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