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Simplifying -7(t + -6) + 4t = 3(2 + t) Reorder the terms: -7(-6 + t) + 4t = 3(2 + t) (-6 * -7 + t * -7) + 4t = 3(2 + t) (42 + -7t) + 4t = 3(2 + t) Combine like terms: -7t + 4t = -3t 42 + -3t = 3(2 + t) 42 + -3t = (2 * 3 + t * 3) 42 + -3t = (6 + 3t) Solving 42 + -3t = 6 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 42 + -3t + -3t = 6 + 3t + -3t Combine like terms: -3t + -3t = -6t 42 + -6t = 6 + 3t + -3t Combine like terms: 3t + -3t = 0 42 + -6t = 6 + 0 42 + -6t = 6 Add '-42' to each side of the equation. 42 + -42 + -6t = 6 + -42 Combine like terms: 42 + -42 = 0 0 + -6t = 6 + -42 -6t = 6 + -42 Combine like terms: 6 + -42 = -36 -6t = -36 Divide each side by '-6'. t = 6 Simplifying t = 6
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