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Simplifying 5t + 17 + -7 = 2(17) + t + -16 Reorder the terms: 17 + -7 + 5t = 2(17) + t + -16 Combine like terms: 17 + -7 = 10 10 + 5t = 2(17) + t + -16 Multiply 2 * 17 10 + 5t = 34 + t + -16 Reorder the terms: 10 + 5t = 34 + -16 + t Combine like terms: 34 + -16 = 18 10 + 5t = 18 + t Solving 10 + 5t = 18 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 10 + 5t + -1t = 18 + t + -1t Combine like terms: 5t + -1t = 4t 10 + 4t = 18 + t + -1t Combine like terms: t + -1t = 0 10 + 4t = 18 + 0 10 + 4t = 18 Add '-10' to each side of the equation. 10 + -10 + 4t = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 4t = 18 + -10 4t = 18 + -10 Combine like terms: 18 + -10 = 8 4t = 8 Divide each side by '4'. t = 2 Simplifying t = 2
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