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Simplifying 3(t + -6) + 3 = -2(t + 5) + -3 Reorder the terms: 3(-6 + t) + 3 = -2(t + 5) + -3 (-6 * 3 + t * 3) + 3 = -2(t + 5) + -3 (-18 + 3t) + 3 = -2(t + 5) + -3 Reorder the terms: -18 + 3 + 3t = -2(t + 5) + -3 Combine like terms: -18 + 3 = -15 -15 + 3t = -2(t + 5) + -3 Reorder the terms: -15 + 3t = -2(5 + t) + -3 -15 + 3t = (5 * -2 + t * -2) + -3 -15 + 3t = (-10 + -2t) + -3 Reorder the terms: -15 + 3t = -10 + -3 + -2t Combine like terms: -10 + -3 = -13 -15 + 3t = -13 + -2t Solving -15 + 3t = -13 + -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. -15 + 3t + 2t = -13 + -2t + 2t Combine like terms: 3t + 2t = 5t -15 + 5t = -13 + -2t + 2t Combine like terms: -2t + 2t = 0 -15 + 5t = -13 + 0 -15 + 5t = -13 Add '15' to each side of the equation. -15 + 15 + 5t = -13 + 15 Combine like terms: -15 + 15 = 0 0 + 5t = -13 + 15 5t = -13 + 15 Combine like terms: -13 + 15 = 2 5t = 2 Divide each side by '5'. t = 0.4 Simplifying t = 0.4
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