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Simplifying -1(t + -8) + 5 = 5t + 10 Reorder the terms: -1(-8 + t) + 5 = 5t + 10 (-8 * -1 + t * -1) + 5 = 5t + 10 (8 + -1t) + 5 = 5t + 10 Reorder the terms: 8 + 5 + -1t = 5t + 10 Combine like terms: 8 + 5 = 13 13 + -1t = 5t + 10 Reorder the terms: 13 + -1t = 10 + 5t Solving 13 + -1t = 10 + 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. 13 + -1t + -5t = 10 + 5t + -5t Combine like terms: -1t + -5t = -6t 13 + -6t = 10 + 5t + -5t Combine like terms: 5t + -5t = 0 13 + -6t = 10 + 0 13 + -6t = 10 Add '-13' to each side of the equation. 13 + -13 + -6t = 10 + -13 Combine like terms: 13 + -13 = 0 0 + -6t = 10 + -13 -6t = 10 + -13 Combine like terms: 10 + -13 = -3 -6t = -3 Divide each side by '-6'. t = 0.5 Simplifying t = 0.5
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