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Simplifying 2(t + -6) + 3 = -3(t + 5) + -6 Reorder the terms: 2(-6 + t) + 3 = -3(t + 5) + -6 (-6 * 2 + t * 2) + 3 = -3(t + 5) + -6 (-12 + 2t) + 3 = -3(t + 5) + -6 Reorder the terms: -12 + 3 + 2t = -3(t + 5) + -6 Combine like terms: -12 + 3 = -9 -9 + 2t = -3(t + 5) + -6 Reorder the terms: -9 + 2t = -3(5 + t) + -6 -9 + 2t = (5 * -3 + t * -3) + -6 -9 + 2t = (-15 + -3t) + -6 Reorder the terms: -9 + 2t = -15 + -6 + -3t Combine like terms: -15 + -6 = -21 -9 + 2t = -21 + -3t Solving -9 + 2t = -21 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -9 + 2t + 3t = -21 + -3t + 3t Combine like terms: 2t + 3t = 5t -9 + 5t = -21 + -3t + 3t Combine like terms: -3t + 3t = 0 -9 + 5t = -21 + 0 -9 + 5t = -21 Add '9' to each side of the equation. -9 + 9 + 5t = -21 + 9 Combine like terms: -9 + 9 = 0 0 + 5t = -21 + 9 5t = -21 + 9 Combine like terms: -21 + 9 = -12 5t = -12 Divide each side by '5'. t = -2.4 Simplifying t = -2.4
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