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Simplifying t + -5 + 6t = 3(3t + -3) Reorder the terms: -5 + t + 6t = 3(3t + -3) Combine like terms: t + 6t = 7t -5 + 7t = 3(3t + -3) Reorder the terms: -5 + 7t = 3(-3 + 3t) -5 + 7t = (-3 * 3 + 3t * 3) -5 + 7t = (-9 + 9t) Solving -5 + 7t = -9 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -5 + 7t + -9t = -9 + 9t + -9t Combine like terms: 7t + -9t = -2t -5 + -2t = -9 + 9t + -9t Combine like terms: 9t + -9t = 0 -5 + -2t = -9 + 0 -5 + -2t = -9 Add '5' to each side of the equation. -5 + 5 + -2t = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -2t = -9 + 5 -2t = -9 + 5 Combine like terms: -9 + 5 = -4 -2t = -4 Divide each side by '-2'. t = 2 Simplifying t = 2
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