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Simplifying 8(5t + 1) + -13 = t + -1(t + 4) Reorder the terms: 8(1 + 5t) + -13 = t + -1(t + 4) (1 * 8 + 5t * 8) + -13 = t + -1(t + 4) (8 + 40t) + -13 = t + -1(t + 4) Reorder the terms: 8 + -13 + 40t = t + -1(t + 4) Combine like terms: 8 + -13 = -5 -5 + 40t = t + -1(t + 4) Reorder the terms: -5 + 40t = t + -1(4 + t) -5 + 40t = t + (4 * -1 + t * -1) -5 + 40t = t + (-4 + -1t) Reorder the terms: -5 + 40t = -4 + t + -1t Combine like terms: t + -1t = 0 -5 + 40t = -4 + 0 -5 + 40t = -4 Solving -5 + 40t = -4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 40t = -4 + 5 Combine like terms: -5 + 5 = 0 0 + 40t = -4 + 5 40t = -4 + 5 Combine like terms: -4 + 5 = 1 40t = 1 Divide each side by '40'. t = 0.025 Simplifying t = 0.025
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