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Simplifying -3(-7t + 8) = 18 + -6(6t + 7) Reorder the terms: -3(8 + -7t) = 18 + -6(6t + 7) (8 * -3 + -7t * -3) = 18 + -6(6t + 7) (-24 + 21t) = 18 + -6(6t + 7) Reorder the terms: -24 + 21t = 18 + -6(7 + 6t) -24 + 21t = 18 + (7 * -6 + 6t * -6) -24 + 21t = 18 + (-42 + -36t) Combine like terms: 18 + -42 = -24 -24 + 21t = -24 + -36t Add '24' to each side of the equation. -24 + 24 + 21t = -24 + 24 + -36t Combine like terms: -24 + 24 = 0 0 + 21t = -24 + 24 + -36t 21t = -24 + 24 + -36t Combine like terms: -24 + 24 = 0 21t = 0 + -36t 21t = -36t Solving 21t = -36t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '36t' to each side of the equation. 21t + 36t = -36t + 36t Combine like terms: 21t + 36t = 57t 57t = -36t + 36t Combine like terms: -36t + 36t = 0 57t = 0 Divide each side by '57'. t = 0 Simplifying t = 0
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