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Simplifying 1 + 9(t + -6) = 7(t + 1) + 4 Reorder the terms: 1 + 9(-6 + t) = 7(t + 1) + 4 1 + (-6 * 9 + t * 9) = 7(t + 1) + 4 1 + (-54 + 9t) = 7(t + 1) + 4 Combine like terms: 1 + -54 = -53 -53 + 9t = 7(t + 1) + 4 Reorder the terms: -53 + 9t = 7(1 + t) + 4 -53 + 9t = (1 * 7 + t * 7) + 4 -53 + 9t = (7 + 7t) + 4 Reorder the terms: -53 + 9t = 7 + 4 + 7t Combine like terms: 7 + 4 = 11 -53 + 9t = 11 + 7t Solving -53 + 9t = 11 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -53 + 9t + -7t = 11 + 7t + -7t Combine like terms: 9t + -7t = 2t -53 + 2t = 11 + 7t + -7t Combine like terms: 7t + -7t = 0 -53 + 2t = 11 + 0 -53 + 2t = 11 Add '53' to each side of the equation. -53 + 53 + 2t = 11 + 53 Combine like terms: -53 + 53 = 0 0 + 2t = 11 + 53 2t = 11 + 53 Combine like terms: 11 + 53 = 64 2t = 64 Divide each side by '2'. t = 32 Simplifying t = 32
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