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Simplifying U(t + 4) + -8u(t + 2) + 16u(t) = 0 Reorder the terms: U(4 + t) + -8u(t + 2) + 16u(t) = 0 (4 * U + t * U) + -8u(t + 2) + 16u(t) = 0 (4U + tU) + -8u(t + 2) + 16u(t) = 0 Reorder the terms: 4U + tU + -8u(2 + t) + 16u(t) = 0 4U + tU + (2 * -8u + t * -8u) + 16u(t) = 0 Reorder the terms: 4U + tU + (-8tu + -16u) + 16u(t) = 0 4U + tU + (-8tu + -16u) + 16u(t) = 0 Multiply u * t 4U + tU + -8tu + -16u + 16tu = 0 Reorder the terms: 4U + tU + -8tu + 16tu + -16u = 0 Combine like terms: -8tu + 16tu = 8tu 4U + tU + 8tu + -16u = 0 Solving 4U + tU + 8tu + -16u = 0 Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-8tu' to each side of the equation. 4U + tU + 8tu + -8tu + -16u = 0 + -8tu Combine like terms: 8tu + -8tu = 0 4U + tU + 0 + -16u = 0 + -8tu 4U + tU + -16u = 0 + -8tu Remove the zero: 4U + tU + -16u = -8tu Add '16u' to each side of the equation. 4U + tU + -16u + 16u = -8tu + 16u Combine like terms: -16u + 16u = 0 4U + tU + 0 = -8tu + 16u 4U + tU = -8tu + 16u Reorder the terms: 4U + tU + 8tu + -16u = -8tu + 8tu + 16u + -16u Combine like terms: -8tu + 8tu = 0 4U + tU + 8tu + -16u = 0 + 16u + -16u 4U + tU + 8tu + -16u = 16u + -16u Combine like terms: 16u + -16u = 0 4U + tU + 8tu + -16u = 0 The solution to this equation could not be determined.
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