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Simplifying 10t + -10 = 5(t + 6) Reorder the terms: -10 + 10t = 5(t + 6) Reorder the terms: -10 + 10t = 5(6 + t) -10 + 10t = (6 * 5 + t * 5) -10 + 10t = (30 + 5t) Solving -10 + 10t = 30 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -10 + 10t + -5t = 30 + 5t + -5t Combine like terms: 10t + -5t = 5t -10 + 5t = 30 + 5t + -5t Combine like terms: 5t + -5t = 0 -10 + 5t = 30 + 0 -10 + 5t = 30 Add '10' to each side of the equation. -10 + 10 + 5t = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 5t = 30 + 10 5t = 30 + 10 Combine like terms: 30 + 10 = 40 5t = 40 Divide each side by '5'. t = 8 Simplifying t = 8
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