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Simplifying -4(8t + 1) + -6 = t + -1(t + 1) Reorder the terms: -4(1 + 8t) + -6 = t + -1(t + 1) (1 * -4 + 8t * -4) + -6 = t + -1(t + 1) (-4 + -32t) + -6 = t + -1(t + 1) Reorder the terms: -4 + -6 + -32t = t + -1(t + 1) Combine like terms: -4 + -6 = -10 -10 + -32t = t + -1(t + 1) Reorder the terms: -10 + -32t = t + -1(1 + t) -10 + -32t = t + (1 * -1 + t * -1) -10 + -32t = t + (-1 + -1t) Reorder the terms: -10 + -32t = -1 + t + -1t Combine like terms: t + -1t = 0 -10 + -32t = -1 + 0 -10 + -32t = -1 Solving -10 + -32t = -1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -32t = -1 + 10 Combine like terms: -10 + 10 = 0 0 + -32t = -1 + 10 -32t = -1 + 10 Combine like terms: -1 + 10 = 9 -32t = 9 Divide each side by '-32'. t = -0.28125 Simplifying t = -0.28125
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