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Simplifying -3 + 18t = 3(8t + -19) Reorder the terms: -3 + 18t = 3(-19 + 8t) -3 + 18t = (-19 * 3 + 8t * 3) -3 + 18t = (-57 + 24t) Solving -3 + 18t = -57 + 24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24t' to each side of the equation. -3 + 18t + -24t = -57 + 24t + -24t Combine like terms: 18t + -24t = -6t -3 + -6t = -57 + 24t + -24t Combine like terms: 24t + -24t = 0 -3 + -6t = -57 + 0 -3 + -6t = -57 Add '3' to each side of the equation. -3 + 3 + -6t = -57 + 3 Combine like terms: -3 + 3 = 0 0 + -6t = -57 + 3 -6t = -57 + 3 Combine like terms: -57 + 3 = -54 -6t = -54 Divide each side by '-6'. t = 9 Simplifying t = 9
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