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Simplifying 5t(2) + -2 = 6t + -9 Reorder the terms for easier multiplication: 5 * 2t + -2 = 6t + -9 Multiply 5 * 2 10t + -2 = 6t + -9 Reorder the terms: -2 + 10t = 6t + -9 Reorder the terms: -2 + 10t = -9 + 6t Solving -2 + 10t = -9 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -2 + 10t + -6t = -9 + 6t + -6t Combine like terms: 10t + -6t = 4t -2 + 4t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 -2 + 4t = -9 + 0 -2 + 4t = -9 Add '2' to each side of the equation. -2 + 2 + 4t = -9 + 2 Combine like terms: -2 + 2 = 0 0 + 4t = -9 + 2 4t = -9 + 2 Combine like terms: -9 + 2 = -7 4t = -7 Divide each side by '4'. t = -1.75 Simplifying t = -1.75
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