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Simplifying -15 = -6(t + 1) + 9t Reorder the terms: -15 = -6(1 + t) + 9t -15 = (1 * -6 + t * -6) + 9t -15 = (-6 + -6t) + 9t Combine like terms: -6t + 9t = 3t -15 = -6 + 3t Solving -15 = -6 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -15 + -3t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 -15 + -3t = -6 + 0 -15 + -3t = -6 Add '15' to each side of the equation. -15 + 15 + -3t = -6 + 15 Combine like terms: -15 + 15 = 0 0 + -3t = -6 + 15 -3t = -6 + 15 Combine like terms: -6 + 15 = 9 -3t = 9 Divide each side by '-3'. t = -3 Simplifying t = -3
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