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Simplifying 5(4 + -7) = 6t + 5 + -2t Combine like terms: 4 + -7 = -3 5(-3) = 6t + 5 + -2t Multiply 5 * -3 -15 = 6t + 5 + -2t Reorder the terms: -15 = 5 + 6t + -2t Combine like terms: 6t + -2t = 4t -15 = 5 + 4t Solving -15 = 5 + 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. -15 + -4t = 5 + 4t + -4t Combine like terms: 4t + -4t = 0 -15 + -4t = 5 + 0 -15 + -4t = 5 Add '15' to each side of the equation. -15 + 15 + -4t = 5 + 15 Combine like terms: -15 + 15 = 0 0 + -4t = 5 + 15 -4t = 5 + 15 Combine like terms: 5 + 15 = 20 -4t = 20 Divide each side by '-4'. t = -5 Simplifying t = -5
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