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Simplifying 8(t + -10) = 3t + -65 Reorder the terms: 8(-10 + t) = 3t + -65 (-10 * 8 + t * 8) = 3t + -65 (-80 + 8t) = 3t + -65 Reorder the terms: -80 + 8t = -65 + 3t Solving -80 + 8t = -65 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -80 + 8t + -3t = -65 + 3t + -3t Combine like terms: 8t + -3t = 5t -80 + 5t = -65 + 3t + -3t Combine like terms: 3t + -3t = 0 -80 + 5t = -65 + 0 -80 + 5t = -65 Add '80' to each side of the equation. -80 + 80 + 5t = -65 + 80 Combine like terms: -80 + 80 = 0 0 + 5t = -65 + 80 5t = -65 + 80 Combine like terms: -65 + 80 = 15 5t = 15 Divide each side by '5'. t = 3 Simplifying t = 3
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