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Simplifying -2t + 3(t + -3) + -6t = 0 Reorder the terms: -2t + 3(-3 + t) + -6t = 0 -2t + (-3 * 3 + t * 3) + -6t = 0 -2t + (-9 + 3t) + -6t = 0 Reorder the terms: -9 + -2t + 3t + -6t = 0 Combine like terms: -2t + 3t = 1t -9 + 1t + -6t = 0 Combine like terms: 1t + -6t = -5t -9 + -5t = 0 Solving -9 + -5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -5t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5t = 0 + 9 -5t = 0 + 9 Combine like terms: 0 + 9 = 9 -5t = 9 Divide each side by '-5'. t = -1.8 Simplifying t = -1.8
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