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Simplifying 6(t + 10) = -3t + 33 Reorder the terms: 6(10 + t) = -3t + 33 (10 * 6 + t * 6) = -3t + 33 (60 + 6t) = -3t + 33 Reorder the terms: 60 + 6t = 33 + -3t Solving 60 + 6t = 33 + -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. 60 + 6t + 3t = 33 + -3t + 3t Combine like terms: 6t + 3t = 9t 60 + 9t = 33 + -3t + 3t Combine like terms: -3t + 3t = 0 60 + 9t = 33 + 0 60 + 9t = 33 Add '-60' to each side of the equation. 60 + -60 + 9t = 33 + -60 Combine like terms: 60 + -60 = 0 0 + 9t = 33 + -60 9t = 33 + -60 Combine like terms: 33 + -60 = -27 9t = -27 Divide each side by '9'. t = -3 Simplifying t = -3
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