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Simplifying 5(t + 3) + 9 = (t + -2) + 6 Reorder the terms: 5(3 + t) + 9 = (t + -2) + 6 (3 * 5 + t * 5) + 9 = (t + -2) + 6 (15 + 5t) + 9 = (t + -2) + 6 Reorder the terms: 15 + 9 + 5t = (t + -2) + 6 Combine like terms: 15 + 9 = 24 24 + 5t = (t + -2) + 6 Reorder the terms: 24 + 5t = (-2 + t) + 6 Remove parenthesis around (-2 + t) 24 + 5t = -2 + t + 6 Reorder the terms: 24 + 5t = -2 + 6 + t Combine like terms: -2 + 6 = 4 24 + 5t = 4 + t Solving 24 + 5t = 4 + 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. 24 + 5t + -1t = 4 + t + -1t Combine like terms: 5t + -1t = 4t 24 + 4t = 4 + t + -1t Combine like terms: t + -1t = 0 24 + 4t = 4 + 0 24 + 4t = 4 Add '-24' to each side of the equation. 24 + -24 + 4t = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 4t = 4 + -24 4t = 4 + -24 Combine like terms: 4 + -24 = -20 4t = -20 Divide each side by '4'. t = -5 Simplifying t = -5
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