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Simplifying 5(t + 3) = -1(t + -3) Reorder the terms: 5(3 + t) = -1(t + -3) (3 * 5 + t * 5) = -1(t + -3) (15 + 5t) = -1(t + -3) Reorder the terms: 15 + 5t = -1(-3 + t) 15 + 5t = (-3 * -1 + t * -1) 15 + 5t = (3 + -1t) Solving 15 + 5t = 3 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 15 + 5t + t = 3 + -1t + t Combine like terms: 5t + t = 6t 15 + 6t = 3 + -1t + t Combine like terms: -1t + t = 0 15 + 6t = 3 + 0 15 + 6t = 3 Add '-15' to each side of the equation. 15 + -15 + 6t = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 6t = 3 + -15 6t = 3 + -15 Combine like terms: 3 + -15 = -12 6t = -12 Divide each side by '6'. t = -2 Simplifying t = -2
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