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Simplifying 6t + -15 = -2t + 33 Reorder the terms: -15 + 6t = -2t + 33 Reorder the terms: -15 + 6t = 33 + -2t Solving -15 + 6t = 33 + -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 + 6t + 2t = 33 + -2t + 2t Combine like terms: 6t + 2t = 8t -15 + 8t = 33 + -2t + 2t Combine like terms: -2t + 2t = 0 -15 + 8t = 33 + 0 -15 + 8t = 33 Add '15' to each side of the equation. -15 + 15 + 8t = 33 + 15 Combine like terms: -15 + 15 = 0 0 + 8t = 33 + 15 8t = 33 + 15 Combine like terms: 33 + 15 = 48 8t = 48 Divide each side by '8'. t = 6 Simplifying t = 6
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