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Simplifying 4(2t + 1) + -10 = t + -1(t + 5) Reorder the terms: 4(1 + 2t) + -10 = t + -1(t + 5) (1 * 4 + 2t * 4) + -10 = t + -1(t + 5) (4 + 8t) + -10 = t + -1(t + 5) Reorder the terms: 4 + -10 + 8t = t + -1(t + 5) Combine like terms: 4 + -10 = -6 -6 + 8t = t + -1(t + 5) Reorder the terms: -6 + 8t = t + -1(5 + t) -6 + 8t = t + (5 * -1 + t * -1) -6 + 8t = t + (-5 + -1t) Reorder the terms: -6 + 8t = -5 + t + -1t Combine like terms: t + -1t = 0 -6 + 8t = -5 + 0 -6 + 8t = -5 Solving -6 + 8t = -5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8t = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 8t = -5 + 6 8t = -5 + 6 Combine like terms: -5 + 6 = 1 8t = 1 Divide each side by '8'. t = 0.125 Simplifying t = 0.125
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