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Simplifying 7 + 9(t + -3) = 6(t + 3) + 4 Reorder the terms: 7 + 9(-3 + t) = 6(t + 3) + 4 7 + (-3 * 9 + t * 9) = 6(t + 3) + 4 7 + (-27 + 9t) = 6(t + 3) + 4 Combine like terms: 7 + -27 = -20 -20 + 9t = 6(t + 3) + 4 Reorder the terms: -20 + 9t = 6(3 + t) + 4 -20 + 9t = (3 * 6 + t * 6) + 4 -20 + 9t = (18 + 6t) + 4 Reorder the terms: -20 + 9t = 18 + 4 + 6t Combine like terms: 18 + 4 = 22 -20 + 9t = 22 + 6t Solving -20 + 9t = 22 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -20 + 9t + -6t = 22 + 6t + -6t Combine like terms: 9t + -6t = 3t -20 + 3t = 22 + 6t + -6t Combine like terms: 6t + -6t = 0 -20 + 3t = 22 + 0 -20 + 3t = 22 Add '20' to each side of the equation. -20 + 20 + 3t = 22 + 20 Combine like terms: -20 + 20 = 0 0 + 3t = 22 + 20 3t = 22 + 20 Combine like terms: 22 + 20 = 42 3t = 42 Divide each side by '3'. t = 14 Simplifying t = 14
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