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Simplifying -3(t + -4) + 5t = 4t + -6 Reorder the terms: -3(-4 + t) + 5t = 4t + -6 (-4 * -3 + t * -3) + 5t = 4t + -6 (12 + -3t) + 5t = 4t + -6 Combine like terms: -3t + 5t = 2t 12 + 2t = 4t + -6 Reorder the terms: 12 + 2t = -6 + 4t Solving 12 + 2t = -6 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 12 + 2t + -4t = -6 + 4t + -4t Combine like terms: 2t + -4t = -2t 12 + -2t = -6 + 4t + -4t Combine like terms: 4t + -4t = 0 12 + -2t = -6 + 0 12 + -2t = -6 Add '-12' to each side of the equation. 12 + -12 + -2t = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -2t = -6 + -12 -2t = -6 + -12 Combine like terms: -6 + -12 = -18 -2t = -18 Divide each side by '-2'. t = 9 Simplifying t = 9
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