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Simplifying 10 + -7(-4t + -15) = -15 + 18t Reorder the terms: 10 + -7(-15 + -4t) = -15 + 18t 10 + (-15 * -7 + -4t * -7) = -15 + 18t 10 + (105 + 28t) = -15 + 18t Combine like terms: 10 + 105 = 115 115 + 28t = -15 + 18t Solving 115 + 28t = -15 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. 115 + 28t + -18t = -15 + 18t + -18t Combine like terms: 28t + -18t = 10t 115 + 10t = -15 + 18t + -18t Combine like terms: 18t + -18t = 0 115 + 10t = -15 + 0 115 + 10t = -15 Add '-115' to each side of the equation. 115 + -115 + 10t = -15 + -115 Combine like terms: 115 + -115 = 0 0 + 10t = -15 + -115 10t = -15 + -115 Combine like terms: -15 + -115 = -130 10t = -130 Divide each side by '10'. t = -13 Simplifying t = -13
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