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Simplifying -3t + 2(t + -2) + 6 = -3 Reorder the terms: -3t + 2(-2 + t) + 6 = -3 -3t + (-2 * 2 + t * 2) + 6 = -3 -3t + (-4 + 2t) + 6 = -3 Reorder the terms: -4 + 6 + -3t + 2t = -3 Combine like terms: -4 + 6 = 2 2 + -3t + 2t = -3 Combine like terms: -3t + 2t = -1t 2 + -1t = -3 Solving 2 + -1t = -3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = -3 + -2 -1t = -3 + -2 Combine like terms: -3 + -2 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5
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