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Simplifying -30 = 5(2t + -2) + -6t Reorder the terms: -30 = 5(-2 + 2t) + -6t -30 = (-2 * 5 + 2t * 5) + -6t -30 = (-10 + 10t) + -6t Combine like terms: 10t + -6t = 4t -30 = -10 + 4t Solving -30 = -10 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -30 + -4t = -10 + 4t + -4t Combine like terms: 4t + -4t = 0 -30 + -4t = -10 + 0 -30 + -4t = -10 Add '30' to each side of the equation. -30 + 30 + -4t = -10 + 30 Combine like terms: -30 + 30 = 0 0 + -4t = -10 + 30 -4t = -10 + 30 Combine like terms: -10 + 30 = 20 -4t = 20 Divide each side by '-4'. t = -5 Simplifying t = -5
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