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Simplifying 4 + 3(2t + -2) + -3(4t + 6) + -7 = 0 Reorder the terms: 4 + 3(-2 + 2t) + -3(4t + 6) + -7 = 0 4 + (-2 * 3 + 2t * 3) + -3(4t + 6) + -7 = 0 4 + (-6 + 6t) + -3(4t + 6) + -7 = 0 Reorder the terms: 4 + -6 + 6t + -3(6 + 4t) + -7 = 0 4 + -6 + 6t + (6 * -3 + 4t * -3) + -7 = 0 4 + -6 + 6t + (-18 + -12t) + -7 = 0 Reorder the terms: 4 + -6 + -18 + -7 + 6t + -12t = 0 Combine like terms: 4 + -6 = -2 -2 + -18 + -7 + 6t + -12t = 0 Combine like terms: -2 + -18 = -20 -20 + -7 + 6t + -12t = 0 Combine like terms: -20 + -7 = -27 -27 + 6t + -12t = 0 Combine like terms: 6t + -12t = -6t -27 + -6t = 0 Solving -27 + -6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -6t = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -6t = 0 + 27 -6t = 0 + 27 Combine like terms: 0 + 27 = 27 -6t = 27 Divide each side by '-6'. t = -4.5 Simplifying t = -4.5
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