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Simplifying 5(t + 5) = -1 + 2(t + -3) Reorder the terms: 5(5 + t) = -1 + 2(t + -3) (5 * 5 + t * 5) = -1 + 2(t + -3) (25 + 5t) = -1 + 2(t + -3) Reorder the terms: 25 + 5t = -1 + 2(-3 + t) 25 + 5t = -1 + (-3 * 2 + t * 2) 25 + 5t = -1 + (-6 + 2t) Combine like terms: -1 + -6 = -7 25 + 5t = -7 + 2t Solving 25 + 5t = -7 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 25 + 5t + -2t = -7 + 2t + -2t Combine like terms: 5t + -2t = 3t 25 + 3t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 25 + 3t = -7 + 0 25 + 3t = -7 Add '-25' to each side of the equation. 25 + -25 + 3t = -7 + -25 Combine like terms: 25 + -25 = 0 0 + 3t = -7 + -25 3t = -7 + -25 Combine like terms: -7 + -25 = -32 3t = -32 Divide each side by '3'. t = -10.66666667 Simplifying t = -10.66666667
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