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Simplifying -15t + 12 = -6(4t + 7) Reorder the terms: 12 + -15t = -6(4t + 7) Reorder the terms: 12 + -15t = -6(7 + 4t) 12 + -15t = (7 * -6 + 4t * -6) 12 + -15t = (-42 + -24t) Solving 12 + -15t = -42 + -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. 12 + -15t + 24t = -42 + -24t + 24t Combine like terms: -15t + 24t = 9t 12 + 9t = -42 + -24t + 24t Combine like terms: -24t + 24t = 0 12 + 9t = -42 + 0 12 + 9t = -42 Add '-12' to each side of the equation. 12 + -12 + 9t = -42 + -12 Combine like terms: 12 + -12 = 0 0 + 9t = -42 + -12 9t = -42 + -12 Combine like terms: -42 + -12 = -54 9t = -54 Divide each side by '9'. t = -6 Simplifying t = -6
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