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Simplifying 4(6 + -1t) = -7(t + 1) + 1 (6 * 4 + -1t * 4) = -7(t + 1) + 1 (24 + -4t) = -7(t + 1) + 1 Reorder the terms: 24 + -4t = -7(1 + t) + 1 24 + -4t = (1 * -7 + t * -7) + 1 24 + -4t = (-7 + -7t) + 1 Reorder the terms: 24 + -4t = -7 + 1 + -7t Combine like terms: -7 + 1 = -6 24 + -4t = -6 + -7t Solving 24 + -4t = -6 + -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. 24 + -4t + 7t = -6 + -7t + 7t Combine like terms: -4t + 7t = 3t 24 + 3t = -6 + -7t + 7t Combine like terms: -7t + 7t = 0 24 + 3t = -6 + 0 24 + 3t = -6 Add '-24' to each side of the equation. 24 + -24 + 3t = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 3t = -6 + -24 3t = -6 + -24 Combine like terms: -6 + -24 = -30 3t = -30 Divide each side by '3'. t = -10 Simplifying t = -10
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