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Simplifying 8(6t + 1) + -13 = -1(t + 4) Reorder the terms: 8(1 + 6t) + -13 = -1(t + 4) (1 * 8 + 6t * 8) + -13 = -1(t + 4) (8 + 48t) + -13 = -1(t + 4) Reorder the terms: 8 + -13 + 48t = -1(t + 4) Combine like terms: 8 + -13 = -5 -5 + 48t = -1(t + 4) Reorder the terms: -5 + 48t = -1(4 + t) -5 + 48t = (4 * -1 + t * -1) -5 + 48t = (-4 + -1t) Solving -5 + 48t = -4 + -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. -5 + 48t + t = -4 + -1t + t Combine like terms: 48t + t = 49t -5 + 49t = -4 + -1t + t Combine like terms: -1t + t = 0 -5 + 49t = -4 + 0 -5 + 49t = -4 Add '5' to each side of the equation. -5 + 5 + 49t = -4 + 5 Combine like terms: -5 + 5 = 0 0 + 49t = -4 + 5 49t = -4 + 5 Combine like terms: -4 + 5 = 1 49t = 1 Divide each side by '49'. t = 0.02040816327 Simplifying t = 0.02040816327
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