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Simplifying 6(5t + -1) + -6 = -3t + 3(2t + -6) Reorder the terms: 6(-1 + 5t) + -6 = -3t + 3(2t + -6) (-1 * 6 + 5t * 6) + -6 = -3t + 3(2t + -6) (-6 + 30t) + -6 = -3t + 3(2t + -6) Reorder the terms: -6 + -6 + 30t = -3t + 3(2t + -6) Combine like terms: -6 + -6 = -12 -12 + 30t = -3t + 3(2t + -6) Reorder the terms: -12 + 30t = -3t + 3(-6 + 2t) -12 + 30t = -3t + (-6 * 3 + 2t * 3) -12 + 30t = -3t + (-18 + 6t) Reorder the terms: -12 + 30t = -18 + -3t + 6t Combine like terms: -3t + 6t = 3t -12 + 30t = -18 + 3t Solving -12 + 30t = -18 + 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. -12 + 30t + -3t = -18 + 3t + -3t Combine like terms: 30t + -3t = 27t -12 + 27t = -18 + 3t + -3t Combine like terms: 3t + -3t = 0 -12 + 27t = -18 + 0 -12 + 27t = -18 Add '12' to each side of the equation. -12 + 12 + 27t = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 27t = -18 + 12 27t = -18 + 12 Combine like terms: -18 + 12 = -6 27t = -6 Divide each side by '27'. t = -0.2222222222 Simplifying t = -0.2222222222
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