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Simplifying -6(5 + -1t) = 7t (5 * -6 + -1t * -6) = 7t (-30 + 6t) = 7t Solving -30 + 6t = 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. -30 + 6t + -7t = 7t + -7t Combine like terms: 6t + -7t = -1t -30 + -1t = 7t + -7t Combine like terms: 7t + -7t = 0 -30 + -1t = 0 Add '30' to each side of the equation. -30 + 30 + -1t = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1t = 0 + 30 -1t = 0 + 30 Combine like terms: 0 + 30 = 30 -1t = 30 Divide each side by '-1'. t = -30 Simplifying t = -30
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