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Simplifying -15 = 3(t + -7) + -1t Reorder the terms: -15 = 3(-7 + t) + -1t -15 = (-7 * 3 + t * 3) + -1t -15 = (-21 + 3t) + -1t Combine like terms: 3t + -1t = 2t -15 = -21 + 2t Solving -15 = -21 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -15 + -2t = -21 + 2t + -2t Combine like terms: 2t + -2t = 0 -15 + -2t = -21 + 0 -15 + -2t = -21 Add '15' to each side of the equation. -15 + 15 + -2t = -21 + 15 Combine like terms: -15 + 15 = 0 0 + -2t = -21 + 15 -2t = -21 + 15 Combine like terms: -21 + 15 = -6 -2t = -6 Divide each side by '-2'. t = 3 Simplifying t = 3
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