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Simplifying 3(2 + -4) + -1t + 5 = 5t + -7 Combine like terms: 2 + -4 = -2 3(-2) + -1t + 5 = 5t + -7 Multiply 3 * -2 -6 + -1t + 5 = 5t + -7 Reorder the terms: -6 + 5 + -1t = 5t + -7 Combine like terms: -6 + 5 = -1 -1 + -1t = 5t + -7 Reorder the terms: -1 + -1t = -7 + 5t Solving -1 + -1t = -7 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -1 + -1t + -5t = -7 + 5t + -5t Combine like terms: -1t + -5t = -6t -1 + -6t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 -1 + -6t = -7 + 0 -1 + -6t = -7 Add '1' to each side of the equation. -1 + 1 + -6t = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -6t = -7 + 1 -6t = -7 + 1 Combine like terms: -7 + 1 = -6 -6t = -6 Divide each side by '-6'. t = 1 Simplifying t = 1
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