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Simplifying -3(t + -4) + 6t = 5t + -3 Reorder the terms: -3(-4 + t) + 6t = 5t + -3 (-4 * -3 + t * -3) + 6t = 5t + -3 (12 + -3t) + 6t = 5t + -3 Combine like terms: -3t + 6t = 3t 12 + 3t = 5t + -3 Reorder the terms: 12 + 3t = -3 + 5t Solving 12 + 3t = -3 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 12 + 3t + -5t = -3 + 5t + -5t Combine like terms: 3t + -5t = -2t 12 + -2t = -3 + 5t + -5t Combine like terms: 5t + -5t = 0 12 + -2t = -3 + 0 12 + -2t = -3 Add '-12' to each side of the equation. 12 + -12 + -2t = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -2t = -3 + -12 -2t = -3 + -12 Combine like terms: -3 + -12 = -15 -2t = -15 Divide each side by '-2'. t = 7.5 Simplifying t = 7.5
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