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Simplifying 4t + 1 + -5t = 5 + -1(4 + t) Reorder the terms: 1 + 4t + -5t = 5 + -1(4 + t) Combine like terms: 4t + -5t = -1t 1 + -1t = 5 + -1(4 + t) 1 + -1t = 5 + (4 * -1 + t * -1) 1 + -1t = 5 + (-4 + -1t) Combine like terms: 5 + -4 = 1 1 + -1t = 1 + -1t Add '-1' to each side of the equation. 1 + -1 + -1t = 1 + -1 + -1t Combine like terms: 1 + -1 = 0 0 + -1t = 1 + -1 + -1t -1t = 1 + -1 + -1t Combine like terms: 1 + -1 = 0 -1t = 0 + -1t -1t = -1t Add 't' to each side of the equation. -1t + t = -1t + t Combine like terms: -1t + t = 0 0 = -1t + t Combine like terms: -1t + t = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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