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Simplifying 3 + 7(t + -3) = 4(t + 3) + 6 Reorder the terms: 3 + 7(-3 + t) = 4(t + 3) + 6 3 + (-3 * 7 + t * 7) = 4(t + 3) + 6 3 + (-21 + 7t) = 4(t + 3) + 6 Combine like terms: 3 + -21 = -18 -18 + 7t = 4(t + 3) + 6 Reorder the terms: -18 + 7t = 4(3 + t) + 6 -18 + 7t = (3 * 4 + t * 4) + 6 -18 + 7t = (12 + 4t) + 6 Reorder the terms: -18 + 7t = 12 + 6 + 4t Combine like terms: 12 + 6 = 18 -18 + 7t = 18 + 4t Solving -18 + 7t = 18 + 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. -18 + 7t + -4t = 18 + 4t + -4t Combine like terms: 7t + -4t = 3t -18 + 3t = 18 + 4t + -4t Combine like terms: 4t + -4t = 0 -18 + 3t = 18 + 0 -18 + 3t = 18 Add '18' to each side of the equation. -18 + 18 + 3t = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 3t = 18 + 18 3t = 18 + 18 Combine like terms: 18 + 18 = 36 3t = 36 Divide each side by '3'. t = 12 Simplifying t = 12
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