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Simplifying 5(t + 2) + -2 = 6t + -9 Reorder the terms: 5(2 + t) + -2 = 6t + -9 (2 * 5 + t * 5) + -2 = 6t + -9 (10 + 5t) + -2 = 6t + -9 Reorder the terms: 10 + -2 + 5t = 6t + -9 Combine like terms: 10 + -2 = 8 8 + 5t = 6t + -9 Reorder the terms: 8 + 5t = -9 + 6t Solving 8 + 5t = -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. 8 + 5t + -6t = -9 + 6t + -6t Combine like terms: 5t + -6t = -1t 8 + -1t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 8 + -1t = -9 + 0 8 + -1t = -9 Add '-8' to each side of the equation. 8 + -8 + -1t = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -1t = -9 + -8 -1t = -9 + -8 Combine like terms: -9 + -8 = -17 -1t = -17 Divide each side by '-1'. t = 17 Simplifying t = 17
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